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Finding the Fourth Proportional to 126,301.20, 189,106.20 and 98,653.20

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Solution

The fourth proportional to 126,301.20, 189,106.20 and 98,653.20 is: 147,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,301.20 : 189,106.20 = 98,653.20 : x
  2. Step 2: Convert to fraction form
    126,301.20/189,106.20 = 98,653.20/x
  3. Step 3: Cross multiply
    126,301.20x = 189,106.20 × 98,653.20
  4. Step 4: Simplify right side
    126,301.20x = 18,655,931,769.84
  5. Step 5: Solve for x
    x = 18,655,931,769.84/126,301.20
  6. Step 6: Final answer
    x = 147,709.85

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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.