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Finding the Fourth Proportional to 106,753.26, 160,149.36 and 35,669.16

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Solution

The fourth proportional to 106,753.26, 160,149.36 and 35,669.16 is: 53,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,753.26 : 160,149.36 = 35,669.16 : x
  2. Step 2: Convert to fraction form
    106,753.26/160,149.36 = 35,669.16/x
  3. Step 3: Cross multiply
    106,753.26x = 160,149.36 × 35,669.16
  4. Step 4: Simplify right side
    106,753.26x = 5,712,393,145.74
  5. Step 5: Solve for x
    x = 5,712,393,145.74/106,753.26
  6. Step 6: Final answer
    x = 53,510.25

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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.