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Finding the Fourth Proportional to 106,120, 158,787.36 and 64,024.48

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Solution

The fourth proportional to 106,120, 158,787.36 and 64,024.48 is: 95,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,120 : 158,787.36 = 64,024.48 : x
  2. Step 2: Convert to fraction form
    106,120/158,787.36 = 64,024.48/x
  3. Step 3: Cross multiply
    106,120x = 158,787.36 × 64,024.48
  4. Step 4: Simplify right side
    106,120x = 10,166,278,154.57
  5. Step 5: Solve for x
    x = 10,166,278,154.57/106,120
  6. Step 6: Final answer
    x = 95,799.83

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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.