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Finding the Fourth Proportional to 202,992.70, 280,124.13 and 112,352.38

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Solution

The fourth proportional to 202,992.70, 280,124.13 and 112,352.38 is: 155,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,992.70 : 280,124.13 = 112,352.38 : x
  2. Step 2: Convert to fraction form
    202,992.70/280,124.13 = 112,352.38/x
  3. Step 3: Cross multiply
    202,992.70x = 280,124.13 × 112,352.38
  4. Step 4: Simplify right side
    202,992.70x = 31,472,612,700.93
  5. Step 5: Solve for x
    x = 31,472,612,700.93/202,992.70
  6. Step 6: Final answer
    x = 155,043.08

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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.