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Finding the Fourth Proportional to 361,409.71, 542,141.19 and 95,168.38

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Solution

The fourth proportional to 361,409.71, 542,141.19 and 95,168.38 is: 142,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,409.71 : 542,141.19 = 95,168.38 : x
  2. Step 2: Convert to fraction form
    361,409.71/542,141.19 = 95,168.38/x
  3. Step 3: Cross multiply
    361,409.71x = 542,141.19 × 95,168.38
  4. Step 4: Simplify right side
    361,409.71x = 51,594,698,783.57
  5. Step 5: Solve for x
    x = 51,594,698,783.57/361,409.71
  6. Step 6: Final answer
    x = 142,759.58

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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.