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Finding the Fourth Proportional to 265,239.50, 397,863.36 and 147,658.18

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Solution

The fourth proportional to 265,239.50, 397,863.36 and 147,658.18 is: 221,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,239.50 : 397,863.36 = 147,658.18 : x
  2. Step 2: Convert to fraction form
    265,239.50/397,863.36 = 147,658.18/x
  3. Step 3: Cross multiply
    265,239.50x = 397,863.36 × 147,658.18
  4. Step 4: Simplify right side
    265,239.50x = 58,747,779,626.28
  5. Step 5: Solve for x
    x = 58,747,779,626.28/265,239.50
  6. Step 6: Final answer
    x = 221,489.56

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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.