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Finding the Fourth Proportional to 150,281.01, 225,266.00 and 71,335.17

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Solution

The fourth proportional to 150,281.01, 225,266.00 and 71,335.17 is: 106,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,281.01 : 225,266.00 = 71,335.17 : x
  2. Step 2: Convert to fraction form
    150,281.01/225,266.00 = 71,335.17/x
  3. Step 3: Cross multiply
    150,281.01x = 225,266.00 × 71,335.17
  4. Step 4: Simplify right side
    150,281.01x = 16,069,388,048.54
  5. Step 5: Solve for x
    x = 16,069,388,048.54/150,281.01
  6. Step 6: Final answer
    x = 106,928.93

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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.