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Finding the Fourth Proportional to 102,500.94, 153,795.80 and 55,060.68

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Solution

The fourth proportional to 102,500.94, 153,795.80 and 55,060.68 is: 82,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500.94 : 153,795.80 = 55,060.68 : x
  2. Step 2: Convert to fraction form
    102,500.94/153,795.80 = 55,060.68/x
  3. Step 3: Cross multiply
    102,500.94x = 153,795.80 × 55,060.68
  4. Step 4: Simplify right side
    102,500.94x = 8,468,101,329.14
  5. Step 5: Solve for x
    x = 8,468,101,329.14/102,500.94
  6. Step 6: Final answer
    x = 82,614.87

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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.