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Finding the Fourth Proportional to 209,383.60, 288,954.12 and 113,895.40

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Solution

The fourth proportional to 209,383.60, 288,954.12 and 113,895.40 is: 157,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,383.60 : 288,954.12 = 113,895.40 : x
  2. Step 2: Convert to fraction form
    209,383.60/288,954.12 = 113,895.40/x
  3. Step 3: Cross multiply
    209,383.60x = 288,954.12 × 113,895.40
  4. Step 4: Simplify right side
    209,383.60x = 32,910,545,079.05
  5. Step 5: Solve for x
    x = 32,910,545,079.05/209,383.60
  6. Step 6: Final answer
    x = 157,178.24

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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.