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Finding the Fourth Proportional to 142,408.98, 213,645.78 and 75,814.02

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Solution

The fourth proportional to 142,408.98, 213,645.78 and 75,814.02 is: 113,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,408.98 : 213,645.78 = 75,814.02 : x
  2. Step 2: Convert to fraction form
    142,408.98/213,645.78 = 75,814.02/x
  3. Step 3: Cross multiply
    142,408.98x = 213,645.78 × 75,814.02
  4. Step 4: Simplify right side
    142,408.98x = 16,197,345,437.84
  5. Step 5: Solve for x
    x = 16,197,345,437.84/142,408.98
  6. Step 6: Final answer
    x = 113,738.23

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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.