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Finding the Fourth Proportional to 202,488.24, 279,171.72 and 138,712.08

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Solution

The fourth proportional to 202,488.24, 279,171.72 and 138,712.08 is: 191,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,488.24 : 279,171.72 = 138,712.08 : x
  2. Step 2: Convert to fraction form
    202,488.24/279,171.72 = 138,712.08/x
  3. Step 3: Cross multiply
    202,488.24x = 279,171.72 × 138,712.08
  4. Step 4: Simplify right side
    202,488.24x = 38,724,489,958.38
  5. Step 5: Solve for x
    x = 38,724,489,958.38/202,488.24
  6. Step 6: Final answer
    x = 191,243.16

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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.