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Finding the Fourth Proportional to 98,286.84, 147,388.14 and 45,690.84

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Solution

The fourth proportional to 98,286.84, 147,388.14 and 45,690.84 is: 68,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,286.84 : 147,388.14 = 45,690.84 : x
  2. Step 2: Convert to fraction form
    98,286.84/147,388.14 = 45,690.84/x
  3. Step 3: Cross multiply
    98,286.84x = 147,388.14 × 45,690.84
  4. Step 4: Simplify right side
    98,286.84x = 6,734,287,922.64
  5. Step 5: Solve for x
    x = 6,734,287,922.64/98,286.84
  6. Step 6: Final answer
    x = 68,516.68

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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.