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Finding the Fourth Proportional to 202,306, 279,182.28 and 112,882.64

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Solution

The fourth proportional to 202,306, 279,182.28 and 112,882.64 is: 155,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,306 : 279,182.28 = 112,882.64 : x
  2. Step 2: Convert to fraction form
    202,306/279,182.28 = 112,882.64/x
  3. Step 3: Cross multiply
    202,306x = 279,182.28 × 112,882.64
  4. Step 4: Simplify right side
    202,306x = 31,514,832,807.62
  5. Step 5: Solve for x
    x = 31,514,832,807.62/202,306
  6. Step 6: Final answer
    x = 155,778.04

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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.