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Finding the Fourth Proportional to 302,253.10, 417,118.31 and 166,301.10

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Solution

The fourth proportional to 302,253.10, 417,118.31 and 166,301.10 is: 229,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,253.10 : 417,118.31 = 166,301.10 : x
  2. Step 2: Convert to fraction form
    302,253.10/417,118.31 = 166,301.10/x
  3. Step 3: Cross multiply
    302,253.10x = 417,118.31 × 166,301.10
  4. Step 4: Simplify right side
    302,253.10x = 69,367,233,783.14
  5. Step 5: Solve for x
    x = 69,367,233,783.14/302,253.10
  6. Step 6: Final answer
    x = 229,500.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.