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Finding the Fourth Proportional to 109,507.26, 151,120 and 59,206.26

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Solution

The fourth proportional to 109,507.26, 151,120 and 59,206.26 is: 81,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,507.26 : 151,120 = 59,206.26 : x
  2. Step 2: Convert to fraction form
    109,507.26/151,120 = 59,206.26/x
  3. Step 3: Cross multiply
    109,507.26x = 151,120 × 59,206.26
  4. Step 4: Simplify right side
    109,507.26x = 8,947,250,011.20
  5. Step 5: Solve for x
    x = 8,947,250,011.20/109,507.26
  6. Step 6: Final answer
    x = 81,704.63

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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.