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Finding the Fourth Proportional to 150,475.70, 207,723.31 and 96,099.08

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Solution

The fourth proportional to 150,475.70, 207,723.31 and 96,099.08 is: 132,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,475.70 : 207,723.31 = 96,099.08 : x
  2. Step 2: Convert to fraction form
    150,475.70/207,723.31 = 96,099.08/x
  3. Step 3: Cross multiply
    150,475.70x = 207,723.31 × 96,099.08
  4. Step 4: Simplify right side
    150,475.70x = 19,962,018,985.55
  5. Step 5: Solve for x
    x = 19,962,018,985.55/150,475.70
  6. Step 6: Final answer
    x = 132,659.42

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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.