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Finding the Fourth Proportional to 177,394.67, 266,182.72 and 83,875.31

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Solution

The fourth proportional to 177,394.67, 266,182.72 and 83,875.31 is: 125,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,394.67 : 266,182.72 = 83,875.31 : x
  2. Step 2: Convert to fraction form
    177,394.67/266,182.72 = 83,875.31/x
  3. Step 3: Cross multiply
    177,394.67x = 266,182.72 × 83,875.31
  4. Step 4: Simplify right side
    177,394.67x = 22,326,156,616.04
  5. Step 5: Solve for x
    x = 22,326,156,616.04/177,394.67
  6. Step 6: Final answer
    x = 125,855.85

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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.