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Finding the Fourth Proportional to 116,363.60, 160,657.80 and 89,456.48

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Solution

The fourth proportional to 116,363.60, 160,657.80 and 89,456.48 is: 123,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,363.60 : 160,657.80 = 89,456.48 : x
  2. Step 2: Convert to fraction form
    116,363.60/160,657.80 = 89,456.48/x
  3. Step 3: Cross multiply
    116,363.60x = 160,657.80 × 89,456.48
  4. Step 4: Simplify right side
    116,363.60x = 14,371,881,272.54
  5. Step 5: Solve for x
    x = 14,371,881,272.54/116,363.60
  6. Step 6: Final answer
    x = 123,508.39

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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.