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Finding the Fourth Proportional to 265,291.13, 397,686.53 and 132,045.42

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Solution

The fourth proportional to 265,291.13, 397,686.53 and 132,045.42 is: 197,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,291.13 : 397,686.53 = 132,045.42 : x
  2. Step 2: Convert to fraction form
    265,291.13/397,686.53 = 132,045.42/x
  3. Step 3: Cross multiply
    265,291.13x = 397,686.53 × 132,045.42
  4. Step 4: Simplify right side
    265,291.13x = 52,512,683,720.98
  5. Step 5: Solve for x
    x = 52,512,683,720.98/265,291.13
  6. Step 6: Final answer
    x = 197,943.61

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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.