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Finding the Fourth Proportional to 131,462.70, 197,194.05 and 78,845.10

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Solution

The fourth proportional to 131,462.70, 197,194.05 and 78,845.10 is: 118,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,462.70 : 197,194.05 = 78,845.10 : x
  2. Step 2: Convert to fraction form
    131,462.70/197,194.05 = 78,845.10/x
  3. Step 3: Cross multiply
    131,462.70x = 197,194.05 × 78,845.10
  4. Step 4: Simplify right side
    131,462.70x = 15,547,784,591.66
  5. Step 5: Solve for x
    x = 15,547,784,591.66/131,462.70
  6. Step 6: Final answer
    x = 118,267.65

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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.