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Finding the Fourth Proportional to 278,117.60, 383,837.12 and 157,265.60

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Solution

The fourth proportional to 278,117.60, 383,837.12 and 157,265.60 is: 217,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,117.60 : 383,837.12 = 157,265.60 : x
  2. Step 2: Convert to fraction form
    278,117.60/383,837.12 = 157,265.60/x
  3. Step 3: Cross multiply
    278,117.60x = 383,837.12 × 157,265.60
  4. Step 4: Simplify right side
    278,117.60x = 60,364,374,979.07
  5. Step 5: Solve for x
    x = 60,364,374,979.07/278,117.60
  6. Step 6: Final answer
    x = 217,046.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.