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Finding the Fourth Proportional to 209,992.20, 314,332.20 and 150,943.20

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Solution

The fourth proportional to 209,992.20, 314,332.20 and 150,943.20 is: 225,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,992.20 : 314,332.20 = 150,943.20 : x
  2. Step 2: Convert to fraction form
    209,992.20/314,332.20 = 150,943.20/x
  3. Step 3: Cross multiply
    209,992.20x = 314,332.20 × 150,943.20
  4. Step 4: Simplify right side
    209,992.20x = 47,446,308,131.04
  5. Step 5: Solve for x
    x = 47,446,308,131.04/209,992.20
  6. Step 6: Final answer
    x = 225,943.19

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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.