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Finding the Fourth Proportional to 259,206.50, 388,809.75 and 62,214.50

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Solution

The fourth proportional to 259,206.50, 388,809.75 and 62,214.50 is: 93,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,206.50 : 388,809.75 = 62,214.50 : x
  2. Step 2: Convert to fraction form
    259,206.50/388,809.75 = 62,214.50/x
  3. Step 3: Cross multiply
    259,206.50x = 388,809.75 × 62,214.50
  4. Step 4: Simplify right side
    259,206.50x = 24,189,604,191.38
  5. Step 5: Solve for x
    x = 24,189,604,191.38/259,206.50
  6. Step 6: Final answer
    x = 93,321.75

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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.