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Finding the Fourth Proportional to 141,456.78, 195,208.38 and 77,794.02

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Solution

The fourth proportional to 141,456.78, 195,208.38 and 77,794.02 is: 107,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,456.78 : 195,208.38 = 77,794.02 : x
  2. Step 2: Convert to fraction form
    141,456.78/195,208.38 = 77,794.02/x
  3. Step 3: Cross multiply
    141,456.78x = 195,208.38 × 77,794.02
  4. Step 4: Simplify right side
    141,456.78x = 15,186,044,617.89
  5. Step 5: Solve for x
    x = 15,186,044,617.89/141,456.78
  6. Step 6: Final answer
    x = 107,354.66

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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.