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Finding the Fourth Proportional to 125,506.16, 173,198.13 and 75,205.16

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Solution

The fourth proportional to 125,506.16, 173,198.13 and 75,205.16 is: 103,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,506.16 : 173,198.13 = 75,205.16 : x
  2. Step 2: Convert to fraction form
    125,506.16/173,198.13 = 75,205.16/x
  3. Step 3: Cross multiply
    125,506.16x = 173,198.13 × 75,205.16
  4. Step 4: Simplify right side
    125,506.16x = 13,025,392,212.36
  5. Step 5: Solve for x
    x = 13,025,392,212.36/125,506.16
  6. Step 6: Final answer
    x = 103,782.90

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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.