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Finding the Fourth Proportional to 285,359.15, 428,067.05 and 105,491.70

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Solution

The fourth proportional to 285,359.15, 428,067.05 and 105,491.70 is: 158,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,359.15 : 428,067.05 = 105,491.70 : x
  2. Step 2: Convert to fraction form
    285,359.15/428,067.05 = 105,491.70/x
  3. Step 3: Cross multiply
    285,359.15x = 428,067.05 × 105,491.70
  4. Step 4: Simplify right side
    285,359.15x = 45,157,520,291.03
  5. Step 5: Solve for x
    x = 45,157,520,291.03/285,359.15
  6. Step 6: Final answer
    x = 158,248.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.