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Finding the Fourth Proportional to 101,444.50, 152,137 and 38,219

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Solution

The fourth proportional to 101,444.50, 152,137 and 38,219 is: 57,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,444.50 : 152,137 = 38,219 : x
  2. Step 2: Convert to fraction form
    101,444.50/152,137 = 38,219/x
  3. Step 3: Cross multiply
    101,444.50x = 152,137 × 38,219
  4. Step 4: Simplify right side
    101,444.50x = 5,814,524,003
  5. Step 5: Solve for x
    x = 5,814,524,003/101,444.50
  6. Step 6: Final answer
    x = 57,317.29

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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.