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Finding the Fourth Proportional to 97,228.80, 145,843.20 and 82,648.80

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Solution

The fourth proportional to 97,228.80, 145,843.20 and 82,648.80 is: 123,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,228.80 : 145,843.20 = 82,648.80 : x
  2. Step 2: Convert to fraction form
    97,228.80/145,843.20 = 82,648.80/x
  3. Step 3: Cross multiply
    97,228.80x = 145,843.20 × 82,648.80
  4. Step 4: Simplify right side
    97,228.80x = 12,053,765,468.16
  5. Step 5: Solve for x
    x = 12,053,765,468.16/97,228.80
  6. Step 6: Final answer
    x = 123,973.20

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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.