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Finding the Fourth Proportional to 202,167.76, 278,905.45 and 148,359.28

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Solution

The fourth proportional to 202,167.76, 278,905.45 and 148,359.28 is: 204,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,167.76 : 278,905.45 = 148,359.28 : x
  2. Step 2: Convert to fraction form
    202,167.76/278,905.45 = 148,359.28/x
  3. Step 3: Cross multiply
    202,167.76x = 278,905.45 × 148,359.28
  4. Step 4: Simplify right side
    202,167.76x = 41,378,209,613.75
  5. Step 5: Solve for x
    x = 41,378,209,613.75/202,167.76
  6. Step 6: Final answer
    x = 204,672.65

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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.