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Finding the Fourth Proportional to 150,108.32, 225,164.40 and 39,300

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Solution

The fourth proportional to 150,108.32, 225,164.40 and 39,300 is: 58,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,108.32 : 225,164.40 = 39,300 : x
  2. Step 2: Convert to fraction form
    150,108.32/225,164.40 = 39,300/x
  3. Step 3: Cross multiply
    150,108.32x = 225,164.40 × 39,300
  4. Step 4: Simplify right side
    150,108.32x = 8,848,960,920
  5. Step 5: Solve for x
    x = 8,848,960,920/150,108.32
  6. Step 6: Final answer
    x = 58,950.50

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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.