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Finding the Fourth Proportional to 202,255.65, 302,910.44 and 159,851.14

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Solution

The fourth proportional to 202,255.65, 302,910.44 and 159,851.14 is: 239,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,255.65 : 302,910.44 = 159,851.14 : x
  2. Step 2: Convert to fraction form
    202,255.65/302,910.44 = 159,851.14/x
  3. Step 3: Cross multiply
    202,255.65x = 302,910.44 × 159,851.14
  4. Step 4: Simplify right side
    202,255.65x = 48,420,577,595.37
  5. Step 5: Solve for x
    x = 48,420,577,595.37/202,255.65
  6. Step 6: Final answer
    x = 239,402.84

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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.