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Finding the Fourth Proportional to 107,693.40, 161,712.90 and 72,787.80

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Solution

The fourth proportional to 107,693.40, 161,712.90 and 72,787.80 is: 109,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,693.40 : 161,712.90 = 72,787.80 : x
  2. Step 2: Convert to fraction form
    107,693.40/161,712.90 = 72,787.80/x
  3. Step 3: Cross multiply
    107,693.40x = 161,712.90 × 72,787.80
  4. Step 4: Simplify right side
    107,693.40x = 11,770,726,222.62
  5. Step 5: Solve for x
    x = 11,770,726,222.62/107,693.40
  6. Step 6: Final answer
    x = 109,298.49

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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.