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Finding the Fourth Proportional to 141,521.35, 195,299.17 and 77,859

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Solution

The fourth proportional to 141,521.35, 195,299.17 and 77,859 is: 107,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,521.35 : 195,299.17 = 77,859 : x
  2. Step 2: Convert to fraction form
    141,521.35/195,299.17 = 77,859/x
  3. Step 3: Cross multiply
    141,521.35x = 195,299.17 × 77,859
  4. Step 4: Simplify right side
    141,521.35x = 15,205,798,077.03
  5. Step 5: Solve for x
    x = 15,205,798,077.03/141,521.35
  6. Step 6: Final answer
    x = 107,445.26

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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.