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Finding the Fourth Proportional to 106,410.92, 159,508.65 and 68,994.68

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Solution

The fourth proportional to 106,410.92, 159,508.65 and 68,994.68 is: 103,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,410.92 : 159,508.65 = 68,994.68 : x
  2. Step 2: Convert to fraction form
    106,410.92/159,508.65 = 68,994.68/x
  3. Step 3: Cross multiply
    106,410.92x = 159,508.65 × 68,994.68
  4. Step 4: Simplify right side
    106,410.92x = 11,005,248,263.98
  5. Step 5: Solve for x
    x = 11,005,248,263.98/106,410.92
  6. Step 6: Final answer
    x = 103,422.17

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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.