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Finding the Fourth Proportional to 154,706.66, 232,060.19 and 42,387.83

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Solution

The fourth proportional to 154,706.66, 232,060.19 and 42,387.83 is: 63,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,706.66 : 232,060.19 = 42,387.83 : x
  2. Step 2: Convert to fraction form
    154,706.66/232,060.19 = 42,387.83/x
  3. Step 3: Cross multiply
    154,706.66x = 232,060.19 × 42,387.83
  4. Step 4: Simplify right side
    154,706.66x = 9,836,526,511.25
  5. Step 5: Solve for x
    x = 9,836,526,511.25/154,706.66
  6. Step 6: Final answer
    x = 63,581.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.