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Finding the Fourth Proportional to 253,775.25, 350,221.32 and 140,598

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Solution

The fourth proportional to 253,775.25, 350,221.32 and 140,598 is: 194,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,775.25 : 350,221.32 = 140,598 : x
  2. Step 2: Convert to fraction form
    253,775.25/350,221.32 = 140,598/x
  3. Step 3: Cross multiply
    253,775.25x = 350,221.32 × 140,598
  4. Step 4: Simplify right side
    253,775.25x = 49,240,417,149.36
  5. Step 5: Solve for x
    x = 49,240,417,149.36/253,775.25
  6. Step 6: Final answer
    x = 194,031.60

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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.