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Finding the Fourth Proportional to 146,242.88, 201,819.84 and 89,711.36

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Solution

The fourth proportional to 146,242.88, 201,819.84 and 89,711.36 is: 123,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,242.88 : 201,819.84 = 89,711.36 : x
  2. Step 2: Convert to fraction form
    146,242.88/201,819.84 = 89,711.36/x
  3. Step 3: Cross multiply
    146,242.88x = 201,819.84 × 89,711.36
  4. Step 4: Simplify right side
    146,242.88x = 18,105,532,321.38
  5. Step 5: Solve for x
    x = 18,105,532,321.38/146,242.88
  6. Step 6: Final answer
    x = 123,804.54

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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.