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Finding the Fourth Proportional to 107,224.30, 161,200.95 and 87,644.98

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Solution

The fourth proportional to 107,224.30, 161,200.95 and 87,644.98 is: 131,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,224.30 : 161,200.95 = 87,644.98 : x
  2. Step 2: Convert to fraction form
    107,224.30/161,200.95 = 87,644.98/x
  3. Step 3: Cross multiply
    107,224.30x = 161,200.95 × 87,644.98
  4. Step 4: Simplify right side
    107,224.30x = 14,128,454,038.73
  5. Step 5: Solve for x
    x = 14,128,454,038.73/107,224.30
  6. Step 6: Final answer
    x = 131,765.41

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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.