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Finding the Fourth Proportional to 253,932, 350,426.16 and 140,772

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Solution

The fourth proportional to 253,932, 350,426.16 and 140,772 is: 194,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,932 : 350,426.16 = 140,772 : x
  2. Step 2: Convert to fraction form
    253,932/350,426.16 = 140,772/x
  3. Step 3: Cross multiply
    253,932x = 350,426.16 × 140,772
  4. Step 4: Simplify right side
    253,932x = 49,330,191,395.52
  5. Step 5: Solve for x
    x = 49,330,191,395.52/253,932
  6. Step 6: Final answer
    x = 194,265.36

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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.