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Finding the Fourth Proportional to 109,404.60, 164,106.90 and 97,654.20

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Solution

The fourth proportional to 109,404.60, 164,106.90 and 97,654.20 is: 146,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,404.60 : 164,106.90 = 97,654.20 : x
  2. Step 2: Convert to fraction form
    109,404.60/164,106.90 = 97,654.20/x
  3. Step 3: Cross multiply
    109,404.60x = 164,106.90 × 97,654.20
  4. Step 4: Simplify right side
    109,404.60x = 16,025,728,033.98
  5. Step 5: Solve for x
    x = 16,025,728,033.98/109,404.60
  6. Step 6: Final answer
    x = 146,481.30

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1.5x scale

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.