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Finding the Fourth Proportional to 302,268, 417,139.62 and 166,294.92

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Solution

The fourth proportional to 302,268, 417,139.62 and 166,294.92 is: 229,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,268 : 417,139.62 = 166,294.92 : x
  2. Step 2: Convert to fraction form
    302,268/417,139.62 = 166,294.92/x
  3. Step 3: Cross multiply
    302,268x = 417,139.62 × 166,294.92
  4. Step 4: Simplify right side
    302,268x = 69,368,199,736.73
  5. Step 5: Solve for x
    x = 69,368,199,736.73/302,268
  6. Step 6: Final answer
    x = 229,492.37

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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.