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Finding the Fourth Proportional to 109,627.60, 164,441.40 and 97,380.40

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Solution

The fourth proportional to 109,627.60, 164,441.40 and 97,380.40 is: 146,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,627.60 : 164,441.40 = 97,380.40 : x
  2. Step 2: Convert to fraction form
    109,627.60/164,441.40 = 97,380.40/x
  3. Step 3: Cross multiply
    109,627.60x = 164,441.40 × 97,380.40
  4. Step 4: Simplify right side
    109,627.60x = 16,013,369,308.56
  5. Step 5: Solve for x
    x = 16,013,369,308.56/109,627.60
  6. Step 6: Final answer
    x = 146,070.60

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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.