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Finding the Fourth Proportional to 215,998.40, 323,767.20 and 82,827.20

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Solution

The fourth proportional to 215,998.40, 323,767.20 and 82,827.20 is: 124,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,998.40 : 323,767.20 = 82,827.20 : x
  2. Step 2: Convert to fraction form
    215,998.40/323,767.20 = 82,827.20/x
  3. Step 3: Cross multiply
    215,998.40x = 323,767.20 × 82,827.20
  4. Step 4: Simplify right side
    215,998.40x = 26,816,730,627.84
  5. Step 5: Solve for x
    x = 26,816,730,627.84/215,998.40
  6. Step 6: Final answer
    x = 124,152.45

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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.