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Finding the Fourth Proportional to 82,141.80, 123,212.70 and 54,148.20

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Solution

The fourth proportional to 82,141.80, 123,212.70 and 54,148.20 is: 81,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,141.80 : 123,212.70 = 54,148.20 : x
  2. Step 2: Convert to fraction form
    82,141.80/123,212.70 = 54,148.20/x
  3. Step 3: Cross multiply
    82,141.80x = 123,212.70 × 54,148.20
  4. Step 4: Simplify right side
    82,141.80x = 6,671,745,922.14
  5. Step 5: Solve for x
    x = 6,671,745,922.14/82,141.80
  6. Step 6: Final answer
    x = 81,222.30

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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.