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Finding the Fourth Proportional to 109,409, 150,984.60 and 59,108

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Solution

The fourth proportional to 109,409, 150,984.60 and 59,108 is: 81,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409 : 150,984.60 = 59,108 : x
  2. Step 2: Convert to fraction form
    109,409/150,984.60 = 59,108/x
  3. Step 3: Cross multiply
    109,409x = 150,984.60 × 59,108
  4. Step 4: Simplify right side
    109,409x = 8,924,397,736.80
  5. Step 5: Solve for x
    x = 8,924,397,736.80/109,409
  6. Step 6: Final answer
    x = 81,569.14

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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.