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Finding the Fourth Proportional to 202,044.62, 278,707.41 and 126,461.90

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Solution

The fourth proportional to 202,044.62, 278,707.41 and 126,461.90 is: 174,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,044.62 : 278,707.41 = 126,461.90 : x
  2. Step 2: Convert to fraction form
    202,044.62/278,707.41 = 126,461.90/x
  3. Step 3: Cross multiply
    202,044.62x = 278,707.41 × 126,461.90
  4. Step 4: Simplify right side
    202,044.62x = 35,245,868,612.68
  5. Step 5: Solve for x
    x = 35,245,868,612.68/202,044.62
  6. Step 6: Final answer
    x = 174,445.96

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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.