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Finding the Fourth Proportional to 200,076.52, 299,782.50 and 140,787.76

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Solution

The fourth proportional to 200,076.52, 299,782.50 and 140,787.76 is: 210,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,076.52 : 299,782.50 = 140,787.76 : x
  2. Step 2: Convert to fraction form
    200,076.52/299,782.50 = 140,787.76/x
  3. Step 3: Cross multiply
    200,076.52x = 299,782.50 × 140,787.76
  4. Step 4: Simplify right side
    200,076.52x = 42,205,706,662.20
  5. Step 5: Solve for x
    x = 42,205,706,662.20/200,076.52
  6. Step 6: Final answer
    x = 210,947.82

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