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Finding the Fourth Proportional to 282,692.58, 423,872.70 and 114,218.28

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Solution

The fourth proportional to 282,692.58, 423,872.70 and 114,218.28 is: 171,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,692.58 : 423,872.70 = 114,218.28 : x
  2. Step 2: Convert to fraction form
    282,692.58/423,872.70 = 114,218.28/x
  3. Step 3: Cross multiply
    282,692.58x = 423,872.70 × 114,218.28
  4. Step 4: Simplify right side
    282,692.58x = 48,414,010,732.96
  5. Step 5: Solve for x
    x = 48,414,010,732.96/282,692.58
  6. Step 6: Final answer
    x = 171,260.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.