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Finding the Fourth Proportional to 97,797.78, 146,793.87 and 45,219.06

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Solution

The fourth proportional to 97,797.78, 146,793.87 and 45,219.06 is: 67,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,797.78 : 146,793.87 = 45,219.06 : x
  2. Step 2: Convert to fraction form
    97,797.78/146,793.87 = 45,219.06/x
  3. Step 3: Cross multiply
    97,797.78x = 146,793.87 × 45,219.06
  4. Step 4: Simplify right side
    97,797.78x = 6,637,880,815.16
  5. Step 5: Solve for x
    x = 6,637,880,815.16/97,797.78
  6. Step 6: Final answer
    x = 67,873.53

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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.