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Finding the Fourth Proportional to 161,728.10, 242,592.15 and 82,816.10

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Solution

The fourth proportional to 161,728.10, 242,592.15 and 82,816.10 is: 124,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,728.10 : 242,592.15 = 82,816.10 : x
  2. Step 2: Convert to fraction form
    161,728.10/242,592.15 = 82,816.10/x
  3. Step 3: Cross multiply
    161,728.10x = 242,592.15 × 82,816.10
  4. Step 4: Simplify right side
    161,728.10x = 20,090,535,753.62
  5. Step 5: Solve for x
    x = 20,090,535,753.62/161,728.10
  6. Step 6: Final answer
    x = 124,224.15

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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.