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Finding the Fourth Proportional to 302,051.97, 416,840.79 and 166,078.89

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Solution

The fourth proportional to 302,051.97, 416,840.79 and 166,078.89 is: 229,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,051.97 : 416,840.79 = 166,078.89 : x
  2. Step 2: Convert to fraction form
    302,051.97/416,840.79 = 166,078.89/x
  3. Step 3: Cross multiply
    302,051.97x = 416,840.79 × 166,078.89
  4. Step 4: Simplify right side
    302,051.97x = 69,228,455,709.92
  5. Step 5: Solve for x
    x = 69,228,455,709.92/302,051.97
  6. Step 6: Final answer
    x = 229,193.86

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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.