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Finding the Fourth Proportional to 136,277.64, 204,450.48 and 47,532.42

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Solution

The fourth proportional to 136,277.64, 204,450.48 and 47,532.42 is: 71,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,277.64 : 204,450.48 = 47,532.42 : x
  2. Step 2: Convert to fraction form
    136,277.64/204,450.48 = 47,532.42/x
  3. Step 3: Cross multiply
    136,277.64x = 204,450.48 × 47,532.42
  4. Step 4: Simplify right side
    136,277.64x = 9,718,026,084.56
  5. Step 5: Solve for x
    x = 9,718,026,084.56/136,277.64
  6. Step 6: Final answer
    x = 71,310.50

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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.