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Finding the Fourth Proportional to 140,204.52, 210,306.80 and 41,708.52

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Solution

The fourth proportional to 140,204.52, 210,306.80 and 41,708.52 is: 62,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,204.52 : 210,306.80 = 41,708.52 : x
  2. Step 2: Convert to fraction form
    140,204.52/210,306.80 = 41,708.52/x
  3. Step 3: Cross multiply
    140,204.52x = 210,306.80 × 41,708.52
  4. Step 4: Simplify right side
    140,204.52x = 8,771,585,373.94
  5. Step 5: Solve for x
    x = 8,771,585,373.94/140,204.52
  6. Step 6: Final answer
    x = 62,562.79

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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.