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Finding the Fourth Proportional to 115,874.20, 173,934.20 and 102,633.16

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Solution

The fourth proportional to 115,874.20, 173,934.20 and 102,633.16 is: 154,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,874.20 : 173,934.20 = 102,633.16 : x
  2. Step 2: Convert to fraction form
    115,874.20/173,934.20 = 102,633.16/x
  3. Step 3: Cross multiply
    115,874.20x = 173,934.20 × 102,633.16
  4. Step 4: Simplify right side
    115,874.20x = 17,851,416,578.07
  5. Step 5: Solve for x
    x = 17,851,416,578.07/115,874.20
  6. Step 6: Final answer
    x = 154,058.60

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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.