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Finding the Fourth Proportional to 171,478, 236,639.76 and 96,028.24

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Solution

The fourth proportional to 171,478, 236,639.76 and 96,028.24 is: 132,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,478 : 236,639.76 = 96,028.24 : x
  2. Step 2: Convert to fraction form
    171,478/236,639.76 = 96,028.24/x
  3. Step 3: Cross multiply
    171,478x = 236,639.76 × 96,028.24
  4. Step 4: Simplify right side
    171,478x = 22,724,099,666.82
  5. Step 5: Solve for x
    x = 22,724,099,666.82/171,478
  6. Step 6: Final answer
    x = 132,519.04

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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.