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Finding the Fourth Proportional to 263,472.95, 363,593.61 and 142,615.69

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Solution

The fourth proportional to 263,472.95, 363,593.61 and 142,615.69 is: 196,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,472.95 : 363,593.61 = 142,615.69 : x
  2. Step 2: Convert to fraction form
    263,472.95/363,593.61 = 142,615.69/x
  3. Step 3: Cross multiply
    263,472.95x = 363,593.61 × 142,615.69
  4. Step 4: Simplify right side
    263,472.95x = 51,854,152,660.76
  5. Step 5: Solve for x
    x = 51,854,152,660.76/263,472.95
  6. Step 6: Final answer
    x = 196,810.16

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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.