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Finding the Fourth Proportional to 253,844.52, 350,316.81 and 140,659.98

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Solution

The fourth proportional to 253,844.52, 350,316.81 and 140,659.98 is: 194,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,844.52 : 350,316.81 = 140,659.98 : x
  2. Step 2: Convert to fraction form
    253,844.52/350,316.81 = 140,659.98/x
  3. Step 3: Cross multiply
    253,844.52x = 350,316.81 × 140,659.98
  4. Step 4: Simplify right side
    253,844.52x = 49,275,555,488.26
  5. Step 5: Solve for x
    x = 49,275,555,488.26/253,844.52
  6. Step 6: Final answer
    x = 194,117.07

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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.