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Finding the Fourth Proportional to 310,634.56, 465,874.80 and 133,121.44

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Solution

The fourth proportional to 310,634.56, 465,874.80 and 133,121.44 is: 199,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,634.56 : 465,874.80 = 133,121.44 : x
  2. Step 2: Convert to fraction form
    310,634.56/465,874.80 = 133,121.44/x
  3. Step 3: Cross multiply
    310,634.56x = 465,874.80 × 133,121.44
  4. Step 4: Simplify right side
    310,634.56x = 62,017,924,235.71
  5. Step 5: Solve for x
    x = 62,017,924,235.71/310,634.56
  6. Step 6: Final answer
    x = 199,649.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.