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Finding the Fourth Proportional to 161,098.76, 241,658.64 and 42,766.92

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Solution

The fourth proportional to 161,098.76, 241,658.64 and 42,766.92 is: 64,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,098.76 : 241,658.64 = 42,766.92 : x
  2. Step 2: Convert to fraction form
    161,098.76/241,658.64 = 42,766.92/x
  3. Step 3: Cross multiply
    161,098.76x = 241,658.64 × 42,766.92
  4. Step 4: Simplify right side
    161,098.76x = 10,334,995,724.19
  5. Step 5: Solve for x
    x = 10,334,995,724.19/161,098.76
  6. Step 6: Final answer
    x = 64,153.17

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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.