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Finding the Fourth Proportional to 202,704, 279,748.80 and 113,297.28

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Solution

The fourth proportional to 202,704, 279,748.80 and 113,297.28 is: 156,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,704 : 279,748.80 = 113,297.28 : x
  2. Step 2: Convert to fraction form
    202,704/279,748.80 = 113,297.28/x
  3. Step 3: Cross multiply
    202,704x = 279,748.80 × 113,297.28
  4. Step 4: Simplify right side
    202,704x = 31,694,778,123.26
  5. Step 5: Solve for x
    x = 31,694,778,123.26/202,704
  6. Step 6: Final answer
    x = 156,359.90

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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.