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Finding the Fourth Proportional to 147,982.50, 221,973.84 and 49,486.50

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Solution

The fourth proportional to 147,982.50, 221,973.84 and 49,486.50 is: 74,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,982.50 : 221,973.84 = 49,486.50 : x
  2. Step 2: Convert to fraction form
    147,982.50/221,973.84 = 49,486.50/x
  3. Step 3: Cross multiply
    147,982.50x = 221,973.84 × 49,486.50
  4. Step 4: Simplify right side
    147,982.50x = 10,984,708,433.16
  5. Step 5: Solve for x
    x = 10,984,708,433.16/147,982.50
  6. Step 6: Final answer
    x = 74,229.78

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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.