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Finding the Fourth Proportional to 302,274.14, 417,141.51 and 166,309.88

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Solution

The fourth proportional to 302,274.14, 417,141.51 and 166,309.88 is: 229,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,274.14 : 417,141.51 = 166,309.88 : x
  2. Step 2: Convert to fraction form
    302,274.14/417,141.51 = 166,309.88/x
  3. Step 3: Cross multiply
    302,274.14x = 417,141.51 × 166,309.88
  4. Step 4: Simplify right side
    302,274.14x = 69,374,754,471.12
  5. Step 5: Solve for x
    x = 69,374,754,471.12/302,274.14
  6. Step 6: Final answer
    x = 229,509.39

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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.