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Finding the Fourth Proportional to 141,840.54, 195,737.36 and 77,310.33

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Solution

The fourth proportional to 141,840.54, 195,737.36 and 77,310.33 is: 106,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,840.54 : 195,737.36 = 77,310.33 : x
  2. Step 2: Convert to fraction form
    141,840.54/195,737.36 = 77,310.33/x
  3. Step 3: Cross multiply
    141,840.54x = 195,737.36 × 77,310.33
  4. Step 4: Simplify right side
    141,840.54x = 15,132,519,508.38
  5. Step 5: Solve for x
    x = 15,132,519,508.38/141,840.54
  6. Step 6: Final answer
    x = 106,686.84

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Why These Related Problems?

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