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Finding the Fourth Proportional to 181,948.80, 273,020.40 and 82,124.40

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Solution

The fourth proportional to 181,948.80, 273,020.40 and 82,124.40 is: 123,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,948.80 : 273,020.40 = 82,124.40 : x
  2. Step 2: Convert to fraction form
    181,948.80/273,020.40 = 82,124.40/x
  3. Step 3: Cross multiply
    181,948.80x = 273,020.40 × 82,124.40
  4. Step 4: Simplify right side
    181,948.80x = 22,421,636,537.76
  5. Step 5: Solve for x
    x = 22,421,636,537.76/181,948.80
  6. Step 6: Final answer
    x = 123,230.47

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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.