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Finding the Fourth Proportional to 302,251.28, 417,106.14 and 166,284.90

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Solution

The fourth proportional to 302,251.28, 417,106.14 and 166,284.90 is: 229,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,251.28 : 417,106.14 = 166,284.90 : x
  2. Step 2: Convert to fraction form
    302,251.28/417,106.14 = 166,284.90/x
  3. Step 3: Cross multiply
    302,251.28x = 417,106.14 × 166,284.90
  4. Step 4: Simplify right side
    302,251.28x = 69,358,452,779.29
  5. Step 5: Solve for x
    x = 69,358,452,779.29/302,251.28
  6. Step 6: Final answer
    x = 229,472.82

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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.