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Finding the Fourth Proportional to 302,109.56, 416,902.82 and 166,143.48

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Solution

The fourth proportional to 302,109.56, 416,902.82 and 166,143.48 is: 229,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,109.56 : 416,902.82 = 166,143.48 : x
  2. Step 2: Convert to fraction form
    302,109.56/416,902.82 = 166,143.48/x
  3. Step 3: Cross multiply
    302,109.56x = 416,902.82 × 166,143.48
  4. Step 4: Simplify right side
    302,109.56x = 69,265,685,336.61
  5. Step 5: Solve for x
    x = 69,265,685,336.61/302,109.56
  6. Step 6: Final answer
    x = 229,273.40

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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.