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Finding the Fourth Proportional to 141,162.51, 194,718.69 and 83,764.02

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Solution

The fourth proportional to 141,162.51, 194,718.69 and 83,764.02 is: 115,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,162.51 : 194,718.69 = 83,764.02 : x
  2. Step 2: Convert to fraction form
    141,162.51/194,718.69 = 83,764.02/x
  3. Step 3: Cross multiply
    141,162.51x = 194,718.69 × 83,764.02
  4. Step 4: Simplify right side
    141,162.51x = 16,310,420,243.53
  5. Step 5: Solve for x
    x = 16,310,420,243.53/141,162.51
  6. Step 6: Final answer
    x = 115,543.57

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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.