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Finding the Fourth Proportional to 131,410.60, 197,115.90 and 75,423.40

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Solution

The fourth proportional to 131,410.60, 197,115.90 and 75,423.40 is: 113,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,410.60 : 197,115.90 = 75,423.40 : x
  2. Step 2: Convert to fraction form
    131,410.60/197,115.90 = 75,423.40/x
  3. Step 3: Cross multiply
    131,410.60x = 197,115.90 × 75,423.40
  4. Step 4: Simplify right side
    131,410.60x = 14,867,151,372.06
  5. Step 5: Solve for x
    x = 14,867,151,372.06/131,410.60
  6. Step 6: Final answer
    x = 113,135.10

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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.