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Finding the Fourth Proportional to 202,964.30, 280,091.28 and 112,326.52

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Solution

The fourth proportional to 202,964.30, 280,091.28 and 112,326.52 is: 155,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.30 : 280,091.28 = 112,326.52 : x
  2. Step 2: Convert to fraction form
    202,964.30/280,091.28 = 112,326.52/x
  3. Step 3: Cross multiply
    202,964.30x = 280,091.28 × 112,326.52
  4. Step 4: Simplify right side
    202,964.30x = 31,461,678,764.75
  5. Step 5: Solve for x
    x = 31,461,678,764.75/202,964.30
  6. Step 6: Final answer
    x = 155,010.90

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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.