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Finding the Fourth Proportional to 137,656.96, 206,363.10 and 48,898.76

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Solution

The fourth proportional to 137,656.96, 206,363.10 and 48,898.76 is: 73,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,656.96 : 206,363.10 = 48,898.76 : x
  2. Step 2: Convert to fraction form
    137,656.96/206,363.10 = 48,898.76/x
  3. Step 3: Cross multiply
    137,656.96x = 206,363.10 × 48,898.76
  4. Step 4: Simplify right side
    137,656.96x = 10,090,899,699.76
  5. Step 5: Solve for x
    x = 10,090,899,699.76/137,656.96
  6. Step 6: Final answer
    x = 73,304.68

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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.