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Finding the Fourth Proportional to 259,237.28, 357,747.42 and 140,005.28

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Solution

The fourth proportional to 259,237.28, 357,747.42 and 140,005.28 is: 193,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,237.28 : 357,747.42 = 140,005.28 : x
  2. Step 2: Convert to fraction form
    259,237.28/357,747.42 = 140,005.28/x
  3. Step 3: Cross multiply
    259,237.28x = 357,747.42 × 140,005.28
  4. Step 4: Simplify right side
    259,237.28x = 50,086,527,706.38
  5. Step 5: Solve for x
    x = 50,086,527,706.38/259,237.28
  6. Step 6: Final answer
    x = 193,207.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.