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Finding the Fourth Proportional to 202,015.58, 278,780.36 and 111,371.22

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Solution

The fourth proportional to 202,015.58, 278,780.36 and 111,371.22 is: 153,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,015.58 : 278,780.36 = 111,371.22 : x
  2. Step 2: Convert to fraction form
    202,015.58/278,780.36 = 111,371.22/x
  3. Step 3: Cross multiply
    202,015.58x = 278,780.36 × 111,371.22
  4. Step 4: Simplify right side
    202,015.58x = 31,048,108,248.38
  5. Step 5: Solve for x
    x = 31,048,108,248.38/202,015.58
  6. Step 6: Final answer
    x = 153,691.66

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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.