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Finding the Fourth Proportional to 150,858.98, 208,162.25 and 87,184.48

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Solution

The fourth proportional to 150,858.98, 208,162.25 and 87,184.48 is: 120,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,858.98 : 208,162.25 = 87,184.48 : x
  2. Step 2: Convert to fraction form
    150,858.98/208,162.25 = 87,184.48/x
  3. Step 3: Cross multiply
    150,858.98x = 208,162.25 × 87,184.48
  4. Step 4: Simplify right side
    150,858.98x = 18,148,517,521.88
  5. Step 5: Solve for x
    x = 18,148,517,521.88/150,858.98
  6. Step 6: Final answer
    x = 120,301.21

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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.