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Finding the Fourth Proportional to 106,684.62, 147,161.43 and 68,981.10

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Solution

The fourth proportional to 106,684.62, 147,161.43 and 68,981.10 is: 95,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,684.62 : 147,161.43 = 68,981.10 : x
  2. Step 2: Convert to fraction form
    106,684.62/147,161.43 = 68,981.10/x
  3. Step 3: Cross multiply
    106,684.62x = 147,161.43 × 68,981.10
  4. Step 4: Simplify right side
    106,684.62x = 10,151,357,318.97
  5. Step 5: Solve for x
    x = 10,151,357,318.97/106,684.62
  6. Step 6: Final answer
    x = 95,152.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.