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Finding the Fourth Proportional to 97,680.60, 146,348.10 and 91,459.80

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Solution

The fourth proportional to 97,680.60, 146,348.10 and 91,459.80 is: 137,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,680.60 : 146,348.10 = 91,459.80 : x
  2. Step 2: Convert to fraction form
    97,680.60/146,348.10 = 91,459.80/x
  3. Step 3: Cross multiply
    97,680.60x = 146,348.10 × 91,459.80
  4. Step 4: Simplify right side
    97,680.60x = 13,384,967,956.38
  5. Step 5: Solve for x
    x = 13,384,967,956.38/97,680.60
  6. Step 6: Final answer
    x = 137,027.90

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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.