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Finding the Fourth Proportional to 256,753.62, 385,479.72 and 144,513.12

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Solution

The fourth proportional to 256,753.62, 385,479.72 and 144,513.12 is: 216,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,753.62 : 385,479.72 = 144,513.12 : x
  2. Step 2: Convert to fraction form
    256,753.62/385,479.72 = 144,513.12/x
  3. Step 3: Cross multiply
    256,753.62x = 385,479.72 × 144,513.12
  4. Step 4: Simplify right side
    256,753.62x = 55,706,877,033.93
  5. Step 5: Solve for x
    x = 55,706,877,033.93/256,753.62
  6. Step 6: Final answer
    x = 216,966.28

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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.