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Finding the Fourth Proportional to 145,854.40, 218,781.60 and 144,932.80

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Solution

The fourth proportional to 145,854.40, 218,781.60 and 144,932.80 is: 217,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854.40 : 218,781.60 = 144,932.80 : x
  2. Step 2: Convert to fraction form
    145,854.40/218,781.60 = 144,932.80/x
  3. Step 3: Cross multiply
    145,854.40x = 218,781.60 × 144,932.80
  4. Step 4: Simplify right side
    145,854.40x = 31,708,629,876.48
  5. Step 5: Solve for x
    x = 31,708,629,876.48/145,854.40
  6. Step 6: Final answer
    x = 217,399.20

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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.