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Finding the Fourth Proportional to 147,144.37, 220,715.40 and 97,446.88

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Solution

The fourth proportional to 147,144.37, 220,715.40 and 97,446.88 is: 146,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,144.37 : 220,715.40 = 97,446.88 : x
  2. Step 2: Convert to fraction form
    147,144.37/220,715.40 = 97,446.88/x
  3. Step 3: Cross multiply
    147,144.37x = 220,715.40 × 97,446.88
  4. Step 4: Simplify right side
    147,144.37x = 21,508,027,097.95
  5. Step 5: Solve for x
    x = 21,508,027,097.95/147,144.37
  6. Step 6: Final answer
    x = 146,169.56

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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.