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Finding the Fourth Proportional to 101,464.10, 152,196.15 and 66,443.30

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Solution

The fourth proportional to 101,464.10, 152,196.15 and 66,443.30 is: 99,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,464.10 : 152,196.15 = 66,443.30 : x
  2. Step 2: Convert to fraction form
    101,464.10/152,196.15 = 66,443.30/x
  3. Step 3: Cross multiply
    101,464.10x = 152,196.15 × 66,443.30
  4. Step 4: Simplify right side
    101,464.10x = 10,112,414,453.30
  5. Step 5: Solve for x
    x = 10,112,414,453.30/101,464.10
  6. Step 6: Final answer
    x = 99,664.95

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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.