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Finding the Fourth Proportional to 132,865.65, 199,264.41 and 39,349.53

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Solution

The fourth proportional to 132,865.65, 199,264.41 and 39,349.53 is: 59,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,865.65 : 199,264.41 = 39,349.53 : x
  2. Step 2: Convert to fraction form
    132,865.65/199,264.41 = 39,349.53/x
  3. Step 3: Cross multiply
    132,865.65x = 199,264.41 × 39,349.53
  4. Step 4: Simplify right side
    132,865.65x = 7,840,960,879.23
  5. Step 5: Solve for x
    x = 7,840,960,879.23/132,865.65
  6. Step 6: Final answer
    x = 59,014.21

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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.