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Finding the Fourth Proportional to 256,545.30, 384,927.30 and 161,848.20

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Solution

The fourth proportional to 256,545.30, 384,927.30 and 161,848.20 is: 242,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,545.30 : 384,927.30 = 161,848.20 : x
  2. Step 2: Convert to fraction form
    256,545.30/384,927.30 = 161,848.20/x
  3. Step 3: Cross multiply
    256,545.30x = 384,927.30 × 161,848.20
  4. Step 4: Simplify right side
    256,545.30x = 62,299,790,635.86
  5. Step 5: Solve for x
    x = 62,299,790,635.86/256,545.30
  6. Step 6: Final answer
    x = 242,841.29

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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.