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Finding the Fourth Proportional to 313,251.30, 469,862.37 and 102,891.06

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Solution

The fourth proportional to 313,251.30, 469,862.37 and 102,891.06 is: 154,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,251.30 : 469,862.37 = 102,891.06 : x
  2. Step 2: Convert to fraction form
    313,251.30/469,862.37 = 102,891.06/x
  3. Step 3: Cross multiply
    313,251.30x = 469,862.37 × 102,891.06
  4. Step 4: Simplify right side
    313,251.30x = 48,344,637,303.41
  5. Step 5: Solve for x
    x = 48,344,637,303.41/313,251.30
  6. Step 6: Final answer
    x = 154,331.80

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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.