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Finding the Fourth Proportional to 202,074.61, 278,851.50 and 125,591.74

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Solution

The fourth proportional to 202,074.61, 278,851.50 and 125,591.74 is: 173,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,074.61 : 278,851.50 = 125,591.74 : x
  2. Step 2: Convert to fraction form
    202,074.61/278,851.50 = 125,591.74/x
  3. Step 3: Cross multiply
    202,074.61x = 278,851.50 × 125,591.74
  4. Step 4: Simplify right side
    202,074.61x = 35,021,445,086.61
  5. Step 5: Solve for x
    x = 35,021,445,086.61/202,074.61
  6. Step 6: Final answer
    x = 173,309.48

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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.