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Finding the Fourth Proportional to 361,407.71, 542,138.19 and 95,166.38

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Solution

The fourth proportional to 361,407.71, 542,138.19 and 95,166.38 is: 142,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,407.71 : 542,138.19 = 95,166.38 : x
  2. Step 2: Convert to fraction form
    361,407.71/542,138.19 = 95,166.38/x
  3. Step 3: Cross multiply
    361,407.71x = 542,138.19 × 95,166.38
  4. Step 4: Simplify right side
    361,407.71x = 51,593,326,291.36
  5. Step 5: Solve for x
    x = 51,593,326,291.36/361,407.71
  6. Step 6: Final answer
    x = 142,756.58

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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.