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Finding the Fourth Proportional to 150,231, 225,040.32 and 86,866.32

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Solution

The fourth proportional to 150,231, 225,040.32 and 86,866.32 is: 130,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,231 : 225,040.32 = 86,866.32 : x
  2. Step 2: Convert to fraction form
    150,231/225,040.32 = 86,866.32/x
  3. Step 3: Cross multiply
    150,231x = 225,040.32 × 86,866.32
  4. Step 4: Simplify right side
    150,231x = 19,548,424,450.02
  5. Step 5: Solve for x
    x = 19,548,424,450.02/150,231
  6. Step 6: Final answer
    x = 130,122.44

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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.