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Finding the Fourth Proportional to 284,067.50, 425,990.07 and 106,477.65

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Solution

The fourth proportional to 284,067.50, 425,990.07 and 106,477.65 is: 159,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,067.50 : 425,990.07 = 106,477.65 : x
  2. Step 2: Convert to fraction form
    284,067.50/425,990.07 = 106,477.65/x
  3. Step 3: Cross multiply
    284,067.50x = 425,990.07 × 106,477.65
  4. Step 4: Simplify right side
    284,067.50x = 45,358,421,576.94
  5. Step 5: Solve for x
    x = 45,358,421,576.94/284,067.50
  6. Step 6: Final answer
    x = 159,674.80

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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.