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Finding the Fourth Proportional to 102,682.46, 141,642.65 and 61,818.17

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Solution

The fourth proportional to 102,682.46, 141,642.65 and 61,818.17 is: 85,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,682.46 : 141,642.65 = 61,818.17 : x
  2. Step 2: Convert to fraction form
    102,682.46/141,642.65 = 61,818.17/x
  3. Step 3: Cross multiply
    102,682.46x = 141,642.65 × 61,818.17
  4. Step 4: Simplify right side
    102,682.46x = 8,756,088,399.65
  5. Step 5: Solve for x
    x = 8,756,088,399.65/102,682.46
  6. Step 6: Final answer
    x = 85,273.46

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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.