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Finding the Fourth Proportional to 82,816.10, 124,224.15 and 80,512.10

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Solution

The fourth proportional to 82,816.10, 124,224.15 and 80,512.10 is: 120,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,816.10 : 124,224.15 = 80,512.10 : x
  2. Step 2: Convert to fraction form
    82,816.10/124,224.15 = 80,512.10/x
  3. Step 3: Cross multiply
    82,816.10x = 124,224.15 × 80,512.10
  4. Step 4: Simplify right side
    82,816.10x = 10,001,547,187.22
  5. Step 5: Solve for x
    x = 10,001,547,187.22/82,816.10
  6. Step 6: Final answer
    x = 120,768.15

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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.