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Finding the Fourth Proportional to 209,232, 313,986.24 and 98,432.64

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Solution

The fourth proportional to 209,232, 313,986.24 and 98,432.64 is: 147,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,232 : 313,986.24 = 98,432.64 : x
  2. Step 2: Convert to fraction form
    209,232/313,986.24 = 98,432.64/x
  3. Step 3: Cross multiply
    209,232x = 313,986.24 × 98,432.64
  4. Step 4: Simplify right side
    209,232x = 30,906,494,526.87
  5. Step 5: Solve for x
    x = 30,906,494,526.87/209,232
  6. Step 6: Final answer
    x = 147,713.99

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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.