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Finding the Fourth Proportional to 181,006.26, 249,784.82 and 100,432.06

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Solution

The fourth proportional to 181,006.26, 249,784.82 and 100,432.06 is: 138,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,006.26 : 249,784.82 = 100,432.06 : x
  2. Step 2: Convert to fraction form
    181,006.26/249,784.82 = 100,432.06/x
  3. Step 3: Cross multiply
    181,006.26x = 249,784.82 × 100,432.06
  4. Step 4: Simplify right side
    181,006.26x = 25,086,404,029.33
  5. Step 5: Solve for x
    x = 25,086,404,029.33/181,006.26
  6. Step 6: Final answer
    x = 138,594.12

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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.