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Finding the Fourth Proportional to 180,412.11, 248,964.98 and 99,834.80

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Solution

The fourth proportional to 180,412.11, 248,964.98 and 99,834.80 is: 137,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,412.11 : 248,964.98 = 99,834.80 : x
  2. Step 2: Convert to fraction form
    180,412.11/248,964.98 = 99,834.80/x
  3. Step 3: Cross multiply
    180,412.11x = 248,964.98 × 99,834.80
  4. Step 4: Simplify right side
    180,412.11x = 24,855,367,241.31
  5. Step 5: Solve for x
    x = 24,855,367,241.31/180,412.11
  6. Step 6: Final answer
    x = 137,769.95

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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.