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Finding the Fourth Proportional to 302,069.72, 416,847.75 and 166,103.93

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Solution

The fourth proportional to 302,069.72, 416,847.75 and 166,103.93 is: 229,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,069.72 : 416,847.75 = 166,103.93 : x
  2. Step 2: Convert to fraction form
    302,069.72/416,847.75 = 166,103.93/x
  3. Step 3: Cross multiply
    302,069.72x = 416,847.75 × 166,103.93
  4. Step 4: Simplify right side
    302,069.72x = 69,240,049,486.66
  5. Step 5: Solve for x
    x = 69,240,049,486.66/302,069.72
  6. Step 6: Final answer
    x = 229,218.77

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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.