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Finding the Fourth Proportional to 160,234.49, 221,151.33 and 96,572.34

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Solution

The fourth proportional to 160,234.49, 221,151.33 and 96,572.34 is: 133,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,234.49 : 221,151.33 = 96,572.34 : x
  2. Step 2: Convert to fraction form
    160,234.49/221,151.33 = 96,572.34/x
  3. Step 3: Cross multiply
    160,234.49x = 221,151.33 × 96,572.34
  4. Step 4: Simplify right side
    160,234.49x = 21,357,101,432.21
  5. Step 5: Solve for x
    x = 21,357,101,432.21/160,234.49
  6. Step 6: Final answer
    x = 133,286.54

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