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Finding the Fourth Proportional to 98,993.16, 148,406.30 and 67,314.47

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Solution

The fourth proportional to 98,993.16, 148,406.30 and 67,314.47 is: 100,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,993.16 : 148,406.30 = 67,314.47 : x
  2. Step 2: Convert to fraction form
    98,993.16/148,406.30 = 67,314.47/x
  3. Step 3: Cross multiply
    98,993.16x = 148,406.30 × 67,314.47
  4. Step 4: Simplify right side
    98,993.16x = 9,989,890,350.56
  5. Step 5: Solve for x
    x = 9,989,890,350.56/98,993.16
  6. Step 6: Final answer
    x = 100,914.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.