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Finding the Fourth Proportional to 141,433.67, 195,178.47 and 77,771.47

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Solution

The fourth proportional to 141,433.67, 195,178.47 and 77,771.47 is: 107,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,433.67 : 195,178.47 = 77,771.47 : x
  2. Step 2: Convert to fraction form
    141,433.67/195,178.47 = 77,771.47/x
  3. Step 3: Cross multiply
    141,433.67x = 195,178.47 × 77,771.47
  4. Step 4: Simplify right side
    141,433.67x = 15,179,316,768.22
  5. Step 5: Solve for x
    x = 15,179,316,768.22/141,433.67
  6. Step 6: Final answer
    x = 107,324.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.