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Finding the Fourth Proportional to 302,180.46, 417,000.33 and 166,214.40

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Solution

The fourth proportional to 302,180.46, 417,000.33 and 166,214.40 is: 229,371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,180.46 : 417,000.33 = 166,214.40 : x
  2. Step 2: Convert to fraction form
    302,180.46/417,000.33 = 166,214.40/x
  3. Step 3: Cross multiply
    302,180.46x = 417,000.33 × 166,214.40
  4. Step 4: Simplify right side
    302,180.46x = 69,311,459,650.75
  5. Step 5: Solve for x
    x = 69,311,459,650.75/302,180.46
  6. Step 6: Final answer
    x = 229,371.08

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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.