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Finding the Fourth Proportional to 102,685.92, 153,962.46 and 67,518.96

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Solution

The fourth proportional to 102,685.92, 153,962.46 and 67,518.96 is: 101,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,685.92 : 153,962.46 = 67,518.96 : x
  2. Step 2: Convert to fraction form
    102,685.92/153,962.46 = 67,518.96/x
  3. Step 3: Cross multiply
    102,685.92x = 153,962.46 × 67,518.96
  4. Step 4: Simplify right side
    102,685.92x = 10,395,385,178.24
  5. Step 5: Solve for x
    x = 10,395,385,178.24/102,685.92
  6. Step 6: Final answer
    x = 101,234.77

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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.