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Finding the Fourth Proportional to 109,480.96, 151,083.84 and 59,180

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Solution

The fourth proportional to 109,480.96, 151,083.84 and 59,180 is: 81,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,480.96 : 151,083.84 = 59,180 : x
  2. Step 2: Convert to fraction form
    109,480.96/151,083.84 = 59,180/x
  3. Step 3: Cross multiply
    109,480.96x = 151,083.84 × 59,180
  4. Step 4: Simplify right side
    109,480.96x = 8,941,141,651.20
  5. Step 5: Solve for x
    x = 8,941,141,651.20/109,480.96
  6. Step 6: Final answer
    x = 81,668.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.