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Finding the Fourth Proportional to 150,127.62, 225,064.25 and 65,823.90

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Solution

The fourth proportional to 150,127.62, 225,064.25 and 65,823.90 is: 98,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,127.62 : 225,064.25 = 65,823.90 : x
  2. Step 2: Convert to fraction form
    150,127.62/225,064.25 = 65,823.90/x
  3. Step 3: Cross multiply
    150,127.62x = 225,064.25 × 65,823.90
  4. Step 4: Simplify right side
    150,127.62x = 14,814,606,685.58
  5. Step 5: Solve for x
    x = 14,814,606,685.58/150,127.62
  6. Step 6: Final answer
    x = 98,680.09

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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.