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Finding the Fourth Proportional to 209,794.52, 314,719.24 and 76,737.44

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Solution

The fourth proportional to 209,794.52, 314,719.24 and 76,737.44 is: 115,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,794.52 : 314,719.24 = 76,737.44 : x
  2. Step 2: Convert to fraction form
    209,794.52/314,719.24 = 76,737.44/x
  3. Step 3: Cross multiply
    209,794.52x = 314,719.24 × 76,737.44
  4. Step 4: Simplify right side
    209,794.52x = 24,150,748,796.35
  5. Step 5: Solve for x
    x = 24,150,748,796.35/209,794.52
  6. Step 6: Final answer
    x = 115,116.20

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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.