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Finding the Fourth Proportional to 209,512.80, 314,269.20 and 150,901.20

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Solution

The fourth proportional to 209,512.80, 314,269.20 and 150,901.20 is: 226,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,512.80 : 314,269.20 = 150,901.20 : x
  2. Step 2: Convert to fraction form
    209,512.80/314,269.20 = 150,901.20/x
  3. Step 3: Cross multiply
    209,512.80x = 314,269.20 × 150,901.20
  4. Step 4: Simplify right side
    209,512.80x = 47,423,599,403.04
  5. Step 5: Solve for x
    x = 47,423,599,403.04/209,512.80
  6. Step 6: Final answer
    x = 226,351.80

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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.