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Finding the Fourth Proportional to 106,297.92, 159,460.80 and 36,158.40

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Solution

The fourth proportional to 106,297.92, 159,460.80 and 36,158.40 is: 54,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,297.92 : 159,460.80 = 36,158.40 : x
  2. Step 2: Convert to fraction form
    106,297.92/159,460.80 = 36,158.40/x
  3. Step 3: Cross multiply
    106,297.92x = 159,460.80 × 36,158.40
  4. Step 4: Simplify right side
    106,297.92x = 5,765,847,390.72
  5. Step 5: Solve for x
    x = 5,765,847,390.72/106,297.92
  6. Step 6: Final answer
    x = 54,242.34

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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.