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Finding the Fourth Proportional to 137,708.86, 206,500.94 and 48,964.70

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Solution

The fourth proportional to 137,708.86, 206,500.94 and 48,964.70 is: 73,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,708.86 : 206,500.94 = 48,964.70 : x
  2. Step 2: Convert to fraction form
    137,708.86/206,500.94 = 48,964.70/x
  3. Step 3: Cross multiply
    137,708.86x = 206,500.94 × 48,964.70
  4. Step 4: Simplify right side
    137,708.86x = 10,111,257,307.29
  5. Step 5: Solve for x
    x = 10,111,257,307.29/137,708.86
  6. Step 6: Final answer
    x = 73,424.89

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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.