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Finding the Fourth Proportional to 268,255.43, 402,445.46 and 78,708.14

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Solution

The fourth proportional to 268,255.43, 402,445.46 and 78,708.14 is: 118,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,255.43 : 402,445.46 = 78,708.14 : x
  2. Step 2: Convert to fraction form
    268,255.43/402,445.46 = 78,708.14/x
  3. Step 3: Cross multiply
    268,255.43x = 402,445.46 × 78,708.14
  4. Step 4: Simplify right side
    268,255.43x = 31,675,731,202.28
  5. Step 5: Solve for x
    x = 31,675,731,202.28/268,255.43
  6. Step 6: Final answer
    x = 118,080.49

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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.