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Finding the Fourth Proportional to 141,219.19, 194,796.90 and 83,820.69

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Solution

The fourth proportional to 141,219.19, 194,796.90 and 83,820.69 is: 115,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,219.19 : 194,796.90 = 83,820.69 : x
  2. Step 2: Convert to fraction form
    141,219.19/194,796.90 = 83,820.69/x
  3. Step 3: Cross multiply
    141,219.19x = 194,796.90 × 83,820.69
  4. Step 4: Simplify right side
    141,219.19x = 16,328,010,567.86
  5. Step 5: Solve for x
    x = 16,328,010,567.86/141,219.19
  6. Step 6: Final answer
    x = 115,621.75

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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.