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Finding the Fourth Proportional to 137,463.86, 206,162.98 and 100,459.82

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Solution

The fourth proportional to 137,463.86, 206,162.98 and 100,459.82 is: 150,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,463.86 : 206,162.98 = 100,459.82 : x
  2. Step 2: Convert to fraction form
    137,463.86/206,162.98 = 100,459.82/x
  3. Step 3: Cross multiply
    137,463.86x = 206,162.98 × 100,459.82
  4. Step 4: Simplify right side
    137,463.86x = 20,711,095,861.46
  5. Step 5: Solve for x
    x = 20,711,095,861.46/137,463.86
  6. Step 6: Final answer
    x = 150,665.75

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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.