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Finding the Fourth Proportional to 129,020.42, 193,535.76 and 40,273.93

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Solution

The fourth proportional to 129,020.42, 193,535.76 and 40,273.93 is: 60,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,020.42 : 193,535.76 = 40,273.93 : x
  2. Step 2: Convert to fraction form
    129,020.42/193,535.76 = 40,273.93/x
  3. Step 3: Cross multiply
    129,020.42x = 193,535.76 × 40,273.93
  4. Step 4: Simplify right side
    129,020.42x = 7,794,446,248.19
  5. Step 5: Solve for x
    x = 7,794,446,248.19/129,020.42
  6. Step 6: Final answer
    x = 60,412.50

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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.