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Finding the Fourth Proportional to 272,939.64, 409,471.77 and 83,426.97

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Solution

The fourth proportional to 272,939.64, 409,471.77 and 83,426.97 is: 125,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,939.64 : 409,471.77 = 83,426.97 : x
  2. Step 2: Convert to fraction form
    272,939.64/409,471.77 = 83,426.97/x
  3. Step 3: Cross multiply
    272,939.64x = 409,471.77 × 83,426.97
  4. Step 4: Simplify right side
    272,939.64x = 34,160,989,071.64
  5. Step 5: Solve for x
    x = 34,160,989,071.64/272,939.64
  6. Step 6: Final answer
    x = 125,159.50

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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.