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Finding the Fourth Proportional to 97,468.40, 146,202.60 and 96,546.80

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Solution

The fourth proportional to 97,468.40, 146,202.60 and 96,546.80 is: 144,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,468.40 : 146,202.60 = 96,546.80 : x
  2. Step 2: Convert to fraction form
    97,468.40/146,202.60 = 96,546.80/x
  3. Step 3: Cross multiply
    97,468.40x = 146,202.60 × 96,546.80
  4. Step 4: Simplify right side
    97,468.40x = 14,115,393,181.68
  5. Step 5: Solve for x
    x = 14,115,393,181.68/97,468.40
  6. Step 6: Final answer
    x = 144,820.20

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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.