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Finding the Fourth Proportional to 263,543.16, 363,686.92 and 142,681.24

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Solution

The fourth proportional to 263,543.16, 363,686.92 and 142,681.24 is: 196,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,543.16 : 363,686.92 = 142,681.24 : x
  2. Step 2: Convert to fraction form
    263,543.16/363,686.92 = 142,681.24/x
  3. Step 3: Cross multiply
    263,543.16x = 363,686.92 × 142,681.24
  4. Step 4: Simplify right side
    263,543.16x = 51,891,300,717.38
  5. Step 5: Solve for x
    x = 51,891,300,717.38/263,543.16
  6. Step 6: Final answer
    x = 196,898.68

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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.