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Finding the Fourth Proportional to 253,833.28, 350,292 and 140,657.92

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Solution

The fourth proportional to 253,833.28, 350,292 and 140,657.92 is: 194,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,833.28 : 350,292 = 140,657.92 : x
  2. Step 2: Convert to fraction form
    253,833.28/350,292 = 140,657.92/x
  3. Step 3: Cross multiply
    253,833.28x = 350,292 × 140,657.92
  4. Step 4: Simplify right side
    253,833.28x = 49,271,344,112.64
  5. Step 5: Solve for x
    x = 49,271,344,112.64/253,833.28
  6. Step 6: Final answer
    x = 194,109.08

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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.