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Finding the Fourth Proportional to 141,698, 195,543.24 and 78,035.66

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Solution

The fourth proportional to 141,698, 195,543.24 and 78,035.66 is: 107,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,698 : 195,543.24 = 78,035.66 : x
  2. Step 2: Convert to fraction form
    141,698/195,543.24 = 78,035.66/x
  3. Step 3: Cross multiply
    141,698x = 195,543.24 × 78,035.66
  4. Step 4: Simplify right side
    141,698x = 15,259,345,791.94
  5. Step 5: Solve for x
    x = 15,259,345,791.94/141,698
  6. Step 6: Final answer
    x = 107,689.21

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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.