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Finding the Fourth Proportional to 82,223.20, 123,313.19 and 35,465.68

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Solution

The fourth proportional to 82,223.20, 123,313.19 and 35,465.68 is: 53,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,223.20 : 123,313.19 = 35,465.68 : x
  2. Step 2: Convert to fraction form
    82,223.20/123,313.19 = 35,465.68/x
  3. Step 3: Cross multiply
    82,223.20x = 123,313.19 × 35,465.68
  4. Step 4: Simplify right side
    82,223.20x = 4,373,386,136.32
  5. Step 5: Solve for x
    x = 4,373,386,136.32/82,223.20
  6. Step 6: Final answer
    x = 53,189.20

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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.