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Finding the Fourth Proportional to 106,954.62, 147,697.40 and 68,780.46

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Solution

The fourth proportional to 106,954.62, 147,697.40 and 68,780.46 is: 94,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,954.62 : 147,697.40 = 68,780.46 : x
  2. Step 2: Convert to fraction form
    106,954.62/147,697.40 = 68,780.46/x
  3. Step 3: Cross multiply
    106,954.62x = 147,697.40 × 68,780.46
  4. Step 4: Simplify right side
    106,954.62x = 10,158,695,138.15
  5. Step 5: Solve for x
    x = 10,158,695,138.15/106,954.62
  6. Step 6: Final answer
    x = 94,981.36

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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.