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Finding the Fourth Proportional to 142,400.34, 213,632.94 and 75,805.38

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Solution

The fourth proportional to 142,400.34, 213,632.94 and 75,805.38 is: 113,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,400.34 : 213,632.94 = 75,805.38 : x
  2. Step 2: Convert to fraction form
    142,400.34/213,632.94 = 75,805.38/x
  3. Step 3: Cross multiply
    142,400.34x = 213,632.94 × 75,805.38
  4. Step 4: Simplify right side
    142,400.34x = 16,194,526,197.22
  5. Step 5: Solve for x
    x = 16,194,526,197.22/142,400.34
  6. Step 6: Final answer
    x = 113,725.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.