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Finding the Fourth Proportional to 137,624.76, 206,428.36 and 48,866.56

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Solution

The fourth proportional to 137,624.76, 206,428.36 and 48,866.56 is: 73,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,624.76 : 206,428.36 = 48,866.56 : x
  2. Step 2: Convert to fraction form
    137,624.76/206,428.36 = 48,866.56/x
  3. Step 3: Cross multiply
    137,624.76x = 206,428.36 × 48,866.56
  4. Step 4: Simplify right side
    137,624.76x = 10,087,443,839.64
  5. Step 5: Solve for x
    x = 10,087,443,839.64/137,624.76
  6. Step 6: Final answer
    x = 73,296.72

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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.