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Finding the Fourth Proportional to 166,092.98, 249,314.82 and 77,432

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Solution

The fourth proportional to 166,092.98, 249,314.82 and 77,432 is: 116,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,092.98 : 249,314.82 = 77,432 : x
  2. Step 2: Convert to fraction form
    166,092.98/249,314.82 = 77,432/x
  3. Step 3: Cross multiply
    166,092.98x = 249,314.82 × 77,432
  4. Step 4: Simplify right side
    166,092.98x = 19,304,945,142.24
  5. Step 5: Solve for x
    x = 19,304,945,142.24/166,092.98
  6. Step 6: Final answer
    x = 116,229.75

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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.