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Finding the Fourth Proportional to 137,528.92, 206,225.34 and 48,769.12

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Solution

The fourth proportional to 137,528.92, 206,225.34 and 48,769.12 is: 73,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,528.92 : 206,225.34 = 48,769.12 : x
  2. Step 2: Convert to fraction form
    137,528.92/206,225.34 = 48,769.12/x
  3. Step 3: Cross multiply
    137,528.92x = 206,225.34 × 48,769.12
  4. Step 4: Simplify right side
    137,528.92x = 10,057,428,353.50
  5. Step 5: Solve for x
    x = 10,057,428,353.50/137,528.92
  6. Step 6: Final answer
    x = 73,129.55

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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.