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Finding the Fourth Proportional to 150,869, 226,303.50 and 38,549.47

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Solution

The fourth proportional to 150,869, 226,303.50 and 38,549.47 is: 57,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,869 : 226,303.50 = 38,549.47 : x
  2. Step 2: Convert to fraction form
    150,869/226,303.50 = 38,549.47/x
  3. Step 3: Cross multiply
    150,869x = 226,303.50 × 38,549.47
  4. Step 4: Simplify right side
    150,869x = 8,723,879,984.15
  5. Step 5: Solve for x
    x = 8,723,879,984.15/150,869
  6. Step 6: Final answer
    x = 57,824.21

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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.