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Finding the Fourth Proportional to 310,677.64, 465,939.30 and 133,164.52

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Solution

The fourth proportional to 310,677.64, 465,939.30 and 133,164.52 is: 199,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,677.64 : 465,939.30 = 133,164.52 : x
  2. Step 2: Convert to fraction form
    310,677.64/465,939.30 = 133,164.52/x
  3. Step 3: Cross multiply
    310,677.64x = 465,939.30 × 133,164.52
  4. Step 4: Simplify right side
    310,677.64x = 62,046,583,233.64
  5. Step 5: Solve for x
    x = 62,046,583,233.64/310,677.64
  6. Step 6: Final answer
    x = 199,713.71

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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.