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Finding the Fourth Proportional to 105,863.40, 158,794.80 and 26,977.08

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Solution

The fourth proportional to 105,863.40, 158,794.80 and 26,977.08 is: 40,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,863.40 : 158,794.80 = 26,977.08 : x
  2. Step 2: Convert to fraction form
    105,863.40/158,794.80 = 26,977.08/x
  3. Step 3: Cross multiply
    105,863.40x = 158,794.80 × 26,977.08
  4. Step 4: Simplify right side
    105,863.40x = 4,283,820,023.18
  5. Step 5: Solve for x
    x = 4,283,820,023.18/105,863.40
  6. Step 6: Final answer
    x = 40,465.54

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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.