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Finding the Fourth Proportional to 160,042.61, 240,064.10 and 41,713.85

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Solution

The fourth proportional to 160,042.61, 240,064.10 and 41,713.85 is: 62,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,042.61 : 240,064.10 = 41,713.85 : x
  2. Step 2: Convert to fraction form
    160,042.61/240,064.10 = 41,713.85/x
  3. Step 3: Cross multiply
    160,042.61x = 240,064.10 × 41,713.85
  4. Step 4: Simplify right side
    160,042.61x = 10,013,997,857.79
  5. Step 5: Solve for x
    x = 10,013,997,857.79/160,042.61
  6. Step 6: Final answer
    x = 62,570.82

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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.