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Finding the Fourth Proportional to 96,718.16, 144,964.92 and 55,194.32

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Solution

The fourth proportional to 96,718.16, 144,964.92 and 55,194.32 is: 82,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,718.16 : 144,964.92 = 55,194.32 : x
  2. Step 2: Convert to fraction form
    96,718.16/144,964.92 = 55,194.32/x
  3. Step 3: Cross multiply
    96,718.16x = 144,964.92 × 55,194.32
  4. Step 4: Simplify right side
    96,718.16x = 8,001,240,183.25
  5. Step 5: Solve for x
    x = 8,001,240,183.25/96,718.16
  6. Step 6: Final answer
    x = 82,727.38

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1.5x scale

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.