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Finding the Fourth Proportional to 199,847.34, 275,787.25 and 112,624.31

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Solution

The fourth proportional to 199,847.34, 275,787.25 and 112,624.31 is: 155,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,847.34 : 275,787.25 = 112,624.31 : x
  2. Step 2: Convert to fraction form
    199,847.34/275,787.25 = 112,624.31/x
  3. Step 3: Cross multiply
    199,847.34x = 275,787.25 × 112,624.31
  4. Step 4: Simplify right side
    199,847.34x = 31,060,349,145.95
  5. Step 5: Solve for x
    x = 31,060,349,145.95/199,847.34
  6. Step 6: Final answer
    x = 155,420.38

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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.