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Finding the Fourth Proportional to 141,347.97, 195,051.96 and 77,685.82

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Solution

The fourth proportional to 141,347.97, 195,051.96 and 77,685.82 is: 107,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,347.97 : 195,051.96 = 77,685.82 : x
  2. Step 2: Convert to fraction form
    141,347.97/195,051.96 = 77,685.82/x
  3. Step 3: Cross multiply
    141,347.97x = 195,051.96 × 77,685.82
  4. Step 4: Simplify right side
    141,347.97x = 15,152,771,455.21
  5. Step 5: Solve for x
    x = 15,152,771,455.21/141,347.97
  6. Step 6: Final answer
    x = 107,201.90

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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.