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Finding the Fourth Proportional to 181,003.59, 249,781.12 and 100,429.38

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Solution

The fourth proportional to 181,003.59, 249,781.12 and 100,429.38 is: 138,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,003.59 : 249,781.12 = 100,429.38 : x
  2. Step 2: Convert to fraction form
    181,003.59/249,781.12 = 100,429.38/x
  3. Step 3: Cross multiply
    181,003.59x = 249,781.12 × 100,429.38
  4. Step 4: Simplify right side
    181,003.59x = 25,085,363,017.31
  5. Step 5: Solve for x
    x = 25,085,363,017.31/181,003.59
  6. Step 6: Final answer
    x = 138,590.42

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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.