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Finding the Fourth Proportional to 282,198.40, 389,421.60 and 154,876.16

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Solution

The fourth proportional to 282,198.40, 389,421.60 and 154,876.16 is: 213,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,198.40 : 389,421.60 = 154,876.16 : x
  2. Step 2: Convert to fraction form
    282,198.40/389,421.60 = 154,876.16/x
  3. Step 3: Cross multiply
    282,198.40x = 389,421.60 × 154,876.16
  4. Step 4: Simplify right side
    282,198.40x = 60,312,122,029.06
  5. Step 5: Solve for x
    x = 60,312,122,029.06/282,198.40
  6. Step 6: Final answer
    x = 213,722.41

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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.