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Finding the Fourth Proportional to 145,454.40, 218,138.40 and 56,656.80

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Solution

The fourth proportional to 145,454.40, 218,138.40 and 56,656.80 is: 84,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,454.40 : 218,138.40 = 56,656.80 : x
  2. Step 2: Convert to fraction form
    145,454.40/218,138.40 = 56,656.80/x
  3. Step 3: Cross multiply
    145,454.40x = 218,138.40 × 56,656.80
  4. Step 4: Simplify right side
    145,454.40x = 12,359,023,701.12
  5. Step 5: Solve for x
    x = 12,359,023,701.12/145,454.40
  6. Step 6: Final answer
    x = 84,968.37

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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.