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Finding the Fourth Proportional to 107,967.40, 161,951.10 and 78,245.80

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Solution

The fourth proportional to 107,967.40, 161,951.10 and 78,245.80 is: 117,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967.40 : 161,951.10 = 78,245.80 : x
  2. Step 2: Convert to fraction form
    107,967.40/161,951.10 = 78,245.80/x
  3. Step 3: Cross multiply
    107,967.40x = 161,951.10 × 78,245.80
  4. Step 4: Simplify right side
    107,967.40x = 12,671,993,380.38
  5. Step 5: Solve for x
    x = 12,671,993,380.38/107,967.40
  6. Step 6: Final answer
    x = 117,368.70

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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.