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Finding the Fourth Proportional to 133,047.90, 199,717.65 and 83,184.30

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Solution

The fourth proportional to 133,047.90, 199,717.65 and 83,184.30 is: 124,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047.90 : 199,717.65 = 83,184.30 : x
  2. Step 2: Convert to fraction form
    133,047.90/199,717.65 = 83,184.30/x
  3. Step 3: Cross multiply
    133,047.90x = 199,717.65 × 83,184.30
  4. Step 4: Simplify right side
    133,047.90x = 16,613,372,912.90
  5. Step 5: Solve for x
    x = 16,613,372,912.90/133,047.90
  6. Step 6: Final answer
    x = 124,867.61

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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.