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Finding the Fourth Proportional to 106,738.29, 160,133.72 and 75,209.93

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Solution

The fourth proportional to 106,738.29, 160,133.72 and 75,209.93 is: 112,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,738.29 : 160,133.72 = 75,209.93 : x
  2. Step 2: Convert to fraction form
    106,738.29/160,133.72 = 75,209.93/x
  3. Step 3: Cross multiply
    106,738.29x = 160,133.72 × 75,209.93
  4. Step 4: Simplify right side
    106,738.29x = 12,043,645,495.79
  5. Step 5: Solve for x
    x = 12,043,645,495.79/106,738.29
  6. Step 6: Final answer
    x = 112,833.41

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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.