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Finding the Fourth Proportional to 302,055.86, 416,847.78 and 166,100.12

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Solution

The fourth proportional to 302,055.86, 416,847.78 and 166,100.12 is: 229,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,055.86 : 416,847.78 = 166,100.12 : x
  2. Step 2: Convert to fraction form
    302,055.86/416,847.78 = 166,100.12/x
  3. Step 3: Cross multiply
    302,055.86x = 416,847.78 × 166,100.12
  4. Step 4: Simplify right side
    302,055.86x = 69,238,466,279.73
  5. Step 5: Solve for x
    x = 69,238,466,279.73/302,055.86
  6. Step 6: Final answer
    x = 229,224.05

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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.