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Finding the Fourth Proportional to 145,020.60, 218,114.10 and 129,857.40

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Solution

The fourth proportional to 145,020.60, 218,114.10 and 129,857.40 is: 195,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,020.60 : 218,114.10 = 129,857.40 : x
  2. Step 2: Convert to fraction form
    145,020.60/218,114.10 = 129,857.40/x
  3. Step 3: Cross multiply
    145,020.60x = 218,114.10 × 129,857.40
  4. Step 4: Simplify right side
    145,020.60x = 28,323,729,929.34
  5. Step 5: Solve for x
    x = 28,323,729,929.34/145,020.60
  6. Step 6: Final answer
    x = 195,308.32

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