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Finding the Fourth Proportional to 98,751.96, 147,952.98 and 67,434.12

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Solution

The fourth proportional to 98,751.96, 147,952.98 and 67,434.12 is: 101,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,751.96 : 147,952.98 = 67,434.12 : x
  2. Step 2: Convert to fraction form
    98,751.96/147,952.98 = 67,434.12/x
  3. Step 3: Cross multiply
    98,751.96x = 147,952.98 × 67,434.12
  4. Step 4: Simplify right side
    98,751.96x = 9,977,079,007.68
  5. Step 5: Solve for x
    x = 9,977,079,007.68/98,751.96
  6. Step 6: Final answer
    x = 101,031.71

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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.