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Finding the Fourth Proportional to 126,175.70, 189,263.55 and 63,838.10

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Solution

The fourth proportional to 126,175.70, 189,263.55 and 63,838.10 is: 95,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,175.70 : 189,263.55 = 63,838.10 : x
  2. Step 2: Convert to fraction form
    126,175.70/189,263.55 = 63,838.10/x
  3. Step 3: Cross multiply
    126,175.70x = 189,263.55 × 63,838.10
  4. Step 4: Simplify right side
    126,175.70x = 12,082,225,431.26
  5. Step 5: Solve for x
    x = 12,082,225,431.26/126,175.70
  6. Step 6: Final answer
    x = 95,757.15

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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.