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Finding the Fourth Proportional to 302,206.87, 417,046.45 and 166,251.16

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Solution

The fourth proportional to 302,206.87, 417,046.45 and 166,251.16 is: 229,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,206.87 : 417,046.45 = 166,251.16 : x
  2. Step 2: Convert to fraction form
    302,206.87/417,046.45 = 166,251.16/x
  3. Step 3: Cross multiply
    302,206.87x = 417,046.45 × 166,251.16
  4. Step 4: Simplify right side
    302,206.87x = 69,334,454,863.26
  5. Step 5: Solve for x
    x = 69,334,454,863.26/302,206.87
  6. Step 6: Final answer
    x = 229,427.13

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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.