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Finding the Fourth Proportional to 138,078.63, 206,948.34 and 71,480.79

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Solution

The fourth proportional to 138,078.63, 206,948.34 and 71,480.79 is: 107,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,078.63 : 206,948.34 = 71,480.79 : x
  2. Step 2: Convert to fraction form
    138,078.63/206,948.34 = 71,480.79/x
  3. Step 3: Cross multiply
    138,078.63x = 206,948.34 × 71,480.79
  4. Step 4: Simplify right side
    138,078.63x = 14,792,830,832.39
  5. Step 5: Solve for x
    x = 14,792,830,832.39/138,078.63
  6. Step 6: Final answer
    x = 107,133.38

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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.