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Finding the Fourth Proportional to 142,920.44, 214,374.12 and 58,659.80

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Solution

The fourth proportional to 142,920.44, 214,374.12 and 58,659.80 is: 87,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,920.44 : 214,374.12 = 58,659.80 : x
  2. Step 2: Convert to fraction form
    142,920.44/214,374.12 = 58,659.80/x
  3. Step 3: Cross multiply
    142,920.44x = 214,374.12 × 58,659.80
  4. Step 4: Simplify right side
    142,920.44x = 12,575,143,004.38
  5. Step 5: Solve for x
    x = 12,575,143,004.38/142,920.44
  6. Step 6: Final answer
    x = 87,987.02

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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.