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Finding the Fourth Proportional to 302,044.08, 416,811.92 and 166,078.24

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Solution

The fourth proportional to 302,044.08, 416,811.92 and 166,078.24 is: 229,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,044.08 : 416,811.92 = 166,078.24 : x
  2. Step 2: Convert to fraction form
    302,044.08/416,811.92 = 166,078.24/x
  3. Step 3: Cross multiply
    302,044.08x = 416,811.92 × 166,078.24
  4. Step 4: Simplify right side
    302,044.08x = 69,223,390,084.62
  5. Step 5: Solve for x
    x = 69,223,390,084.62/302,044.08
  6. Step 6: Final answer
    x = 229,183.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.