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Finding the Fourth Proportional to 107,122.66, 160,706.50 and 40,561.31

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Solution

The fourth proportional to 107,122.66, 160,706.50 and 40,561.31 is: 60,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,122.66 : 160,706.50 = 40,561.31 : x
  2. Step 2: Convert to fraction form
    107,122.66/160,706.50 = 40,561.31/x
  3. Step 3: Cross multiply
    107,122.66x = 160,706.50 × 40,561.31
  4. Step 4: Simplify right side
    107,122.66x = 6,518,466,465.88
  5. Step 5: Solve for x
    x = 6,518,466,465.88/107,122.66
  6. Step 6: Final answer
    x = 60,850.49

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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.