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Finding the Fourth Proportional to 392,102.16, 588,106.50 and 107,821.60

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Solution

The fourth proportional to 392,102.16, 588,106.50 and 107,821.60 is: 161,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,102.16 : 588,106.50 = 107,821.60 : x
  2. Step 2: Convert to fraction form
    392,102.16/588,106.50 = 107,821.60/x
  3. Step 3: Cross multiply
    392,102.16x = 588,106.50 × 107,821.60
  4. Step 4: Simplify right side
    392,102.16x = 63,410,583,800.40
  5. Step 5: Solve for x
    x = 63,410,583,800.40/392,102.16
  6. Step 6: Final answer
    x = 161,719.55

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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.