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Finding the Fourth Proportional to 118,293.38, 163,205.78 and 78,027.20

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Solution

The fourth proportional to 118,293.38, 163,205.78 and 78,027.20 is: 107,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,293.38 : 163,205.78 = 78,027.20 : x
  2. Step 2: Convert to fraction form
    118,293.38/163,205.78 = 78,027.20/x
  3. Step 3: Cross multiply
    118,293.38x = 163,205.78 × 78,027.20
  4. Step 4: Simplify right side
    118,293.38x = 12,734,490,037.22
  5. Step 5: Solve for x
    x = 12,734,490,037.22/118,293.38
  6. Step 6: Final answer
    x = 107,651.76

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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.