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Finding the Fourth Proportional to 160,777.50, 221,898.87 and 93,696.54

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Solution

The fourth proportional to 160,777.50, 221,898.87 and 93,696.54 is: 129,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,777.50 : 221,898.87 = 93,696.54 : x
  2. Step 2: Convert to fraction form
    160,777.50/221,898.87 = 93,696.54/x
  3. Step 3: Cross multiply
    160,777.50x = 221,898.87 × 93,696.54
  4. Step 4: Simplify right side
    160,777.50x = 20,791,156,348.91
  5. Step 5: Solve for x
    x = 20,791,156,348.91/160,777.50
  6. Step 6: Final answer
    x = 129,316.33

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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.