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Finding the Fourth Proportional to 292,198.76, 437,965.93 and 123,613.86

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Solution

The fourth proportional to 292,198.76, 437,965.93 and 123,613.86 is: 185,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,198.76 : 437,965.93 = 123,613.86 : x
  2. Step 2: Convert to fraction form
    292,198.76/437,965.93 = 123,613.86/x
  3. Step 3: Cross multiply
    292,198.76x = 437,965.93 × 123,613.86
  4. Step 4: Simplify right side
    292,198.76x = 54,138,659,155.79
  5. Step 5: Solve for x
    x = 54,138,659,155.79/292,198.76
  6. Step 6: Final answer
    x = 185,280.25

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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.