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Finding the Fourth Proportional to 110,509.16, 152,520.92 and 65,198.22

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Solution

The fourth proportional to 110,509.16, 152,520.92 and 65,198.22 is: 89,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.16 : 152,520.92 = 65,198.22 : x
  2. Step 2: Convert to fraction form
    110,509.16/152,520.92 = 65,198.22/x
  3. Step 3: Cross multiply
    110,509.16x = 152,520.92 × 65,198.22
  4. Step 4: Simplify right side
    110,509.16x = 9,944,092,496.76
  5. Step 5: Solve for x
    x = 9,944,092,496.76/110,509.16
  6. Step 6: Final answer
    x = 89,984.33

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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.