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Finding the Fourth Proportional to 209,287.78, 288,809.17 and 113,794.55

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Solution

The fourth proportional to 209,287.78, 288,809.17 and 113,794.55 is: 157,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,287.78 : 288,809.17 = 113,794.55 : x
  2. Step 2: Convert to fraction form
    209,287.78/288,809.17 = 113,794.55/x
  3. Step 3: Cross multiply
    209,287.78x = 288,809.17 × 113,794.55
  4. Step 4: Simplify right side
    209,287.78x = 32,864,909,536.02
  5. Step 5: Solve for x
    x = 32,864,909,536.02/209,287.78
  6. Step 6: Final answer
    x = 157,032.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.