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Finding the Fourth Proportional to 119,249.76, 164,567.52 and 65,539.88

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Solution

The fourth proportional to 119,249.76, 164,567.52 and 65,539.88 is: 90,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,249.76 : 164,567.52 = 65,539.88 : x
  2. Step 2: Convert to fraction form
    119,249.76/164,567.52 = 65,539.88/x
  3. Step 3: Cross multiply
    119,249.76x = 164,567.52 × 65,539.88
  4. Step 4: Simplify right side
    119,249.76x = 10,785,734,689.86
  5. Step 5: Solve for x
    x = 10,785,734,689.86/119,249.76
  6. Step 6: Final answer
    x = 90,446.59

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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.