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Finding the Fourth Proportional to 126,765.27, 174,934.35 and 69,403.86

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Solution

The fourth proportional to 126,765.27, 174,934.35 and 69,403.86 is: 95,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,765.27 : 174,934.35 = 69,403.86 : x
  2. Step 2: Convert to fraction form
    126,765.27/174,934.35 = 69,403.86/x
  3. Step 3: Cross multiply
    126,765.27x = 174,934.35 × 69,403.86
  4. Step 4: Simplify right side
    126,765.27x = 12,141,119,136.59
  5. Step 5: Solve for x
    x = 12,141,119,136.59/126,765.27
  6. Step 6: Final answer
    x = 95,776.38

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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.