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Finding the Fourth Proportional to 147,901.56, 204,146.01 and 87,493.20

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Solution

The fourth proportional to 147,901.56, 204,146.01 and 87,493.20 is: 120,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,901.56 : 204,146.01 = 87,493.20 : x
  2. Step 2: Convert to fraction form
    147,901.56/204,146.01 = 87,493.20/x
  3. Step 3: Cross multiply
    147,901.56x = 204,146.01 × 87,493.20
  4. Step 4: Simplify right side
    147,901.56x = 17,861,387,682.13
  5. Step 5: Solve for x
    x = 17,861,387,682.13/147,901.56
  6. Step 6: Final answer
    x = 120,765.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.