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Finding the Fourth Proportional to 150,232.58, 207,323.41 and 82,248.42

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Solution

The fourth proportional to 150,232.58, 207,323.41 and 82,248.42 is: 113,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,232.58 : 207,323.41 = 82,248.42 : x
  2. Step 2: Convert to fraction form
    150,232.58/207,323.41 = 82,248.42/x
  3. Step 3: Cross multiply
    150,232.58x = 207,323.41 × 82,248.42
  4. Step 4: Simplify right side
    150,232.58x = 17,052,022,901.51
  5. Step 5: Solve for x
    x = 17,052,022,901.51/150,232.58
  6. Step 6: Final answer
    x = 113,504.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.