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Finding the Fourth Proportional to 256,609, 385,073.88 and 123,503.32

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Solution

The fourth proportional to 256,609, 385,073.88 and 123,503.32 is: 185,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,609 : 385,073.88 = 123,503.32 : x
  2. Step 2: Convert to fraction form
    256,609/385,073.88 = 123,503.32/x
  3. Step 3: Cross multiply
    256,609x = 385,073.88 × 123,503.32
  4. Step 4: Simplify right side
    256,609x = 47,557,902,625.28
  5. Step 5: Solve for x
    x = 47,557,902,625.28/256,609
  6. Step 6: Final answer
    x = 185,332.17

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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.