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Finding the Fourth Proportional to 150,382, 225,588.24 and 55,637.20

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Solution

The fourth proportional to 150,382, 225,588.24 and 55,637.20 is: 83,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,382 : 225,588.24 = 55,637.20 : x
  2. Step 2: Convert to fraction form
    150,382/225,588.24 = 55,637.20/x
  3. Step 3: Cross multiply
    150,382x = 225,588.24 × 55,637.20
  4. Step 4: Simplify right side
    150,382x = 12,551,098,026.53
  5. Step 5: Solve for x
    x = 12,551,098,026.53/150,382
  6. Step 6: Final answer
    x = 83,461.44

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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.