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Finding the Fourth Proportional to 106,734.64, 160,106.28 and 40,167.76

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Solution

The fourth proportional to 106,734.64, 160,106.28 and 40,167.76 is: 60,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,734.64 : 160,106.28 = 40,167.76 : x
  2. Step 2: Convert to fraction form
    106,734.64/160,106.28 = 40,167.76/x
  3. Step 3: Cross multiply
    106,734.64x = 160,106.28 × 40,167.76
  4. Step 4: Simplify right side
    106,734.64x = 6,431,110,629.53
  5. Step 5: Solve for x
    x = 6,431,110,629.53/106,734.64
  6. Step 6: Final answer
    x = 60,253.27

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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.