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Finding the Fourth Proportional to 101,382.32, 152,099.40 and 42,198.32

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Solution

The fourth proportional to 101,382.32, 152,099.40 and 42,198.32 is: 63,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,382.32 : 152,099.40 = 42,198.32 : x
  2. Step 2: Convert to fraction form
    101,382.32/152,099.40 = 42,198.32/x
  3. Step 3: Cross multiply
    101,382.32x = 152,099.40 × 42,198.32
  4. Step 4: Simplify right side
    101,382.32x = 6,418,339,153.01
  5. Step 5: Solve for x
    x = 6,418,339,153.01/101,382.32
  6. Step 6: Final answer
    x = 63,308.27

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1.5x scale

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.