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Finding the Fourth Proportional to 209,452.72, 314,208.24 and 67,302.24

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Solution

The fourth proportional to 209,452.72, 314,208.24 and 67,302.24 is: 100,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,452.72 : 314,208.24 = 67,302.24 : x
  2. Step 2: Convert to fraction form
    209,452.72/314,208.24 = 67,302.24/x
  3. Step 3: Cross multiply
    209,452.72x = 314,208.24 × 67,302.24
  4. Step 4: Simplify right side
    209,452.72x = 21,146,918,378.46
  5. Step 5: Solve for x
    x = 21,146,918,378.46/209,452.72
  6. Step 6: Final answer
    x = 100,962.73

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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.