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Finding the Fourth Proportional to 209,983.40, 314,975.10 and 150,934.40

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Solution

The fourth proportional to 209,983.40, 314,975.10 and 150,934.40 is: 226,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,983.40 : 314,975.10 = 150,934.40 : x
  2. Step 2: Convert to fraction form
    209,983.40/314,975.10 = 150,934.40/x
  3. Step 3: Cross multiply
    209,983.40x = 314,975.10 × 150,934.40
  4. Step 4: Simplify right side
    209,983.40x = 47,540,577,733.44
  5. Step 5: Solve for x
    x = 47,540,577,733.44/209,983.40
  6. Step 6: Final answer
    x = 226,401.60

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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.