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Finding the Fourth Proportional to 280,616, 387,377.56 and 178,781.12

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Solution

The fourth proportional to 280,616, 387,377.56 and 178,781.12 is: 246,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,616 : 387,377.56 = 178,781.12 : x
  2. Step 2: Convert to fraction form
    280,616/387,377.56 = 178,781.12/x
  3. Step 3: Cross multiply
    280,616x = 387,377.56 × 178,781.12
  4. Step 4: Simplify right side
    280,616x = 69,255,794,039.67
  5. Step 5: Solve for x
    x = 69,255,794,039.67/280,616
  6. Step 6: Final answer
    x = 246,799.16

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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.