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Finding the Fourth Proportional to 160,092.57, 220,829.86 and 102,712.38

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Solution

The fourth proportional to 160,092.57, 220,829.86 and 102,712.38 is: 141,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,092.57 : 220,829.86 = 102,712.38 : x
  2. Step 2: Convert to fraction form
    160,092.57/220,829.86 = 102,712.38/x
  3. Step 3: Cross multiply
    160,092.57x = 220,829.86 × 102,712.38
  4. Step 4: Simplify right side
    160,092.57x = 22,681,960,495.67
  5. Step 5: Solve for x
    x = 22,681,960,495.67/160,092.57
  6. Step 6: Final answer
    x = 141,680.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.