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Finding the Fourth Proportional to 106,768.72, 147,340.11 and 59,024.08

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Solution

The fourth proportional to 106,768.72, 147,340.11 and 59,024.08 is: 81,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,768.72 : 147,340.11 = 59,024.08 : x
  2. Step 2: Convert to fraction form
    106,768.72/147,340.11 = 59,024.08/x
  3. Step 3: Cross multiply
    106,768.72x = 147,340.11 × 59,024.08
  4. Step 4: Simplify right side
    106,768.72x = 8,696,614,439.85
  5. Step 5: Solve for x
    x = 8,696,614,439.85/106,768.72
  6. Step 6: Final answer
    x = 81,452.83

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1.5x scale

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.