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Finding the Fourth Proportional to 106,811.52, 160,061.44 and 60,077.44

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Solution

The fourth proportional to 106,811.52, 160,061.44 and 60,077.44 is: 90,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,811.52 : 160,061.44 = 60,077.44 : x
  2. Step 2: Convert to fraction form
    106,811.52/160,061.44 = 60,077.44/x
  3. Step 3: Cross multiply
    106,811.52x = 160,061.44 × 60,077.44
  4. Step 4: Simplify right side
    106,811.52x = 9,616,081,557.91
  5. Step 5: Solve for x
    x = 9,616,081,557.91/106,811.52
  6. Step 6: Final answer
    x = 90,028.51

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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.