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Finding the Fourth Proportional to 82,355.70, 123,533.55 and 76,523.70

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Solution

The fourth proportional to 82,355.70, 123,533.55 and 76,523.70 is: 114,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,355.70 : 123,533.55 = 76,523.70 : x
  2. Step 2: Convert to fraction form
    82,355.70/123,533.55 = 76,523.70/x
  3. Step 3: Cross multiply
    82,355.70x = 123,533.55 × 76,523.70
  4. Step 4: Simplify right side
    82,355.70x = 9,453,244,320.14
  5. Step 5: Solve for x
    x = 9,453,244,320.14/82,355.70
  6. Step 6: Final answer
    x = 114,785.55

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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.