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Finding the Fourth Proportional to 142,201.50, 213,337.33 and 42,361.31

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Solution

The fourth proportional to 142,201.50, 213,337.33 and 42,361.31 is: 63,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,201.50 : 213,337.33 = 42,361.31 : x
  2. Step 2: Convert to fraction form
    142,201.50/213,337.33 = 42,361.31/x
  3. Step 3: Cross multiply
    142,201.50x = 213,337.33 × 42,361.31
  4. Step 4: Simplify right side
    142,201.50x = 9,037,247,862.87
  5. Step 5: Solve for x
    x = 9,037,247,862.87/142,201.50
  6. Step 6: Final answer
    x = 63,552.41

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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.