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Finding the Fourth Proportional to 150,281.41, 225,273.88 and 83,752.87

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Solution

The fourth proportional to 150,281.41, 225,273.88 and 83,752.87 is: 125,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,281.41 : 225,273.88 = 83,752.87 : x
  2. Step 2: Convert to fraction form
    150,281.41/225,273.88 = 83,752.87/x
  3. Step 3: Cross multiply
    150,281.41x = 225,273.88 × 83,752.87
  4. Step 4: Simplify right side
    150,281.41x = 18,867,333,986.04
  5. Step 5: Solve for x
    x = 18,867,333,986.04/150,281.41
  6. Step 6: Final answer
    x = 125,546.69

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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.