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Finding the Fourth Proportional to 137,151.72, 205,744.02 and 48,386.88

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Solution

The fourth proportional to 137,151.72, 205,744.02 and 48,386.88 is: 72,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,151.72 : 205,744.02 = 48,386.88 : x
  2. Step 2: Convert to fraction form
    137,151.72/205,744.02 = 48,386.88/x
  3. Step 3: Cross multiply
    137,151.72x = 205,744.02 × 48,386.88
  4. Step 4: Simplify right side
    137,151.72x = 9,955,311,206.46
  5. Step 5: Solve for x
    x = 9,955,311,206.46/137,151.72
  6. Step 6: Final answer
    x = 72,586.12

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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.