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Finding the Fourth Proportional to 361,897.59, 542,763.77 and 137,282.97

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Solution

The fourth proportional to 361,897.59, 542,763.77 and 137,282.97 is: 205,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,897.59 : 542,763.77 = 137,282.97 : x
  2. Step 2: Convert to fraction form
    361,897.59/542,763.77 = 137,282.97/x
  3. Step 3: Cross multiply
    361,897.59x = 542,763.77 × 137,282.97
  4. Step 4: Simplify right side
    361,897.59x = 74,512,221,667.58
  5. Step 5: Solve for x
    x = 74,512,221,667.58/361,897.59
  6. Step 6: Final answer
    x = 205,893.11

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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.