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Finding the Fourth Proportional to 82,264,987.20, 123,397,480.80 and 20,854,027.20

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Solution

The fourth proportional to 82,264,987.20, 123,397,480.80 and 20,854,027.20 is: 31,281,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,264,987.20 : 123,397,480.80 = 20,854,027.20 : x
  2. Step 2: Convert to fraction form
    82,264,987.20/123,397,480.80 = 20,854,027.20/x
  3. Step 3: Cross multiply
    82,264,987.20x = 123,397,480.80 × 20,854,027.20
  4. Step 4: Simplify right side
    82,264,987.20x = 2,573,334,421,014,677.50
  5. Step 5: Solve for x
    x = 2,573,334,421,014,677.50/82,264,987.20
  6. Step 6: Final answer
    x = 31,281,040.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.