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Finding the Fourth Proportional to 282,137.34, 389,348.46 and 154,815.06

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Solution

The fourth proportional to 282,137.34, 389,348.46 and 154,815.06 is: 213,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,137.34 : 389,348.46 = 154,815.06 : x
  2. Step 2: Convert to fraction form
    282,137.34/389,348.46 = 154,815.06/x
  3. Step 3: Cross multiply
    282,137.34x = 389,348.46 × 154,815.06
  4. Step 4: Simplify right side
    282,137.34x = 60,277,005,195.81
  5. Step 5: Solve for x
    x = 60,277,005,195.81/282,137.34
  6. Step 6: Final answer
    x = 213,644.20

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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.