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Finding the Fourth Proportional to 147,079.96, 202,961.84 and 82,543.19

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Solution

The fourth proportional to 147,079.96, 202,961.84 and 82,543.19 is: 113,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,079.96 : 202,961.84 = 82,543.19 : x
  2. Step 2: Convert to fraction form
    147,079.96/202,961.84 = 82,543.19/x
  3. Step 3: Cross multiply
    147,079.96x = 202,961.84 × 82,543.19
  4. Step 4: Simplify right side
    147,079.96x = 16,753,117,498.82
  5. Step 5: Solve for x
    x = 16,753,117,498.82/147,079.96
  6. Step 6: Final answer
    x = 113,904.82

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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.