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Finding the Fourth Proportional to 82,866.80, 124,397.40 and 82,283.60

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Solution

The fourth proportional to 82,866.80, 124,397.40 and 82,283.60 is: 123,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.80 : 124,397.40 = 82,283.60 : x
  2. Step 2: Convert to fraction form
    82,866.80/124,397.40 = 82,283.60/x
  3. Step 3: Cross multiply
    82,866.80x = 124,397.40 × 82,283.60
  4. Step 4: Simplify right side
    82,866.80x = 10,235,865,902.64
  5. Step 5: Solve for x
    x = 10,235,865,902.64/82,866.80
  6. Step 6: Final answer
    x = 123,521.92

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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.