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Finding the Fourth Proportional to 209,508.60, 314,343.54 and 97,246.20

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Solution

The fourth proportional to 209,508.60, 314,343.54 and 97,246.20 is: 145,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,508.60 : 314,343.54 = 97,246.20 : x
  2. Step 2: Convert to fraction form
    209,508.60/314,343.54 = 97,246.20/x
  3. Step 3: Cross multiply
    209,508.60x = 314,343.54 × 97,246.20
  4. Step 4: Simplify right side
    209,508.60x = 30,568,714,759.55
  5. Step 5: Solve for x
    x = 30,568,714,759.55/209,508.60
  6. Step 6: Final answer
    x = 145,906.73

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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.