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Finding the Fourth Proportional to 97,807.56, 146,687.74 and 45,166.44

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Solution

The fourth proportional to 97,807.56, 146,687.74 and 45,166.44 is: 67,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,807.56 : 146,687.74 = 45,166.44 : x
  2. Step 2: Convert to fraction form
    97,807.56/146,687.74 = 45,166.44/x
  3. Step 3: Cross multiply
    97,807.56x = 146,687.74 × 45,166.44
  4. Step 4: Simplify right side
    97,807.56x = 6,625,363,007.45
  5. Step 5: Solve for x
    x = 6,625,363,007.45/97,807.56
  6. Step 6: Final answer
    x = 67,738.76

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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.