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Finding the Fourth Proportional to 137,666.96, 206,378.10 and 48,908.76

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Solution

The fourth proportional to 137,666.96, 206,378.10 and 48,908.76 is: 73,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,666.96 : 206,378.10 = 48,908.76 : x
  2. Step 2: Convert to fraction form
    137,666.96/206,378.10 = 48,908.76/x
  3. Step 3: Cross multiply
    137,666.96x = 206,378.10 × 48,908.76
  4. Step 4: Simplify right side
    137,666.96x = 10,093,696,962.16
  5. Step 5: Solve for x
    x = 10,093,696,962.16/137,666.96
  6. Step 6: Final answer
    x = 73,319.68

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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.