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Finding the Fourth Proportional to 282,111.95, 389,311.44 and 154,787.51

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Solution

The fourth proportional to 282,111.95, 389,311.44 and 154,787.51 is: 213,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,111.95 : 389,311.44 = 154,787.51 : x
  2. Step 2: Convert to fraction form
    282,111.95/389,311.44 = 154,787.51/x
  3. Step 3: Cross multiply
    282,111.95x = 389,311.44 × 154,787.51
  4. Step 4: Simplify right side
    282,111.95x = 60,260,548,412.11
  5. Step 5: Solve for x
    x = 60,260,548,412.11/282,111.95
  6. Step 6: Final answer
    x = 213,605.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.