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Finding the Fourth Proportional to 302,058.60, 416,830.20 and 166,091.60

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Solution

The fourth proportional to 302,058.60, 416,830.20 and 166,091.60 is: 229,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,058.60 : 416,830.20 = 166,091.60 : x
  2. Step 2: Convert to fraction form
    302,058.60/416,830.20 = 166,091.60/x
  3. Step 3: Cross multiply
    302,058.60x = 416,830.20 × 166,091.60
  4. Step 4: Simplify right side
    302,058.60x = 69,231,994,846.32
  5. Step 5: Solve for x
    x = 69,231,994,846.32/302,058.60
  6. Step 6: Final answer
    x = 229,200.54

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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.