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Finding the Fourth Proportional to 106,895.97, 160,399.28 and 77,555.97

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Solution

The fourth proportional to 106,895.97, 160,399.28 and 77,555.97 is: 116,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,895.97 : 160,399.28 = 77,555.97 : x
  2. Step 2: Convert to fraction form
    106,895.97/160,399.28 = 77,555.97/x
  3. Step 3: Cross multiply
    106,895.97x = 160,399.28 × 77,555.97
  4. Step 4: Simplify right side
    106,895.97x = 12,439,921,747.70
  5. Step 5: Solve for x
    x = 12,439,921,747.70/106,895.97
  6. Step 6: Final answer
    x = 116,374.09

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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.