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Finding the Fourth Proportional to 161,654.92, 242,257.66 and 140,551.72

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Solution

The fourth proportional to 161,654.92, 242,257.66 and 140,551.72 is: 210,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,654.92 : 242,257.66 = 140,551.72 : x
  2. Step 2: Convert to fraction form
    161,654.92/242,257.66 = 140,551.72/x
  3. Step 3: Cross multiply
    161,654.92x = 242,257.66 × 140,551.72
  4. Step 4: Simplify right side
    161,654.92x = 34,049,730,796.18
  5. Step 5: Solve for x
    x = 34,049,730,796.18/161,654.92
  6. Step 6: Final answer
    x = 210,632.20

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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.