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Finding the Fourth Proportional to 102,601.96, 153,951.54 and 71,060.56

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Solution

The fourth proportional to 102,601.96, 153,951.54 and 71,060.56 is: 106,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,601.96 : 153,951.54 = 71,060.56 : x
  2. Step 2: Convert to fraction form
    102,601.96/153,951.54 = 71,060.56/x
  3. Step 3: Cross multiply
    102,601.96x = 153,951.54 × 71,060.56
  4. Step 4: Simplify right side
    102,601.96x = 10,939,882,645.26
  5. Step 5: Solve for x
    x = 10,939,882,645.26/102,601.96
  6. Step 6: Final answer
    x = 106,624.50

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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.