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Finding the Fourth Proportional to 97,465.70, 146,198.55 and 82,259.30

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Solution

The fourth proportional to 97,465.70, 146,198.55 and 82,259.30 is: 123,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,465.70 : 146,198.55 = 82,259.30 : x
  2. Step 2: Convert to fraction form
    97,465.70/146,198.55 = 82,259.30/x
  3. Step 3: Cross multiply
    97,465.70x = 146,198.55 × 82,259.30
  4. Step 4: Simplify right side
    97,465.70x = 12,026,190,384.02
  5. Step 5: Solve for x
    x = 12,026,190,384.02/97,465.70
  6. Step 6: Final answer
    x = 123,388.95

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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.