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Finding the Fourth Proportional to 102,182.66, 141,010.32 and 56,859.37

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Solution

The fourth proportional to 102,182.66, 141,010.32 and 56,859.37 is: 78,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,182.66 : 141,010.32 = 56,859.37 : x
  2. Step 2: Convert to fraction form
    102,182.66/141,010.32 = 56,859.37/x
  3. Step 3: Cross multiply
    102,182.66x = 141,010.32 × 56,859.37
  4. Step 4: Simplify right side
    102,182.66x = 8,017,757,499.56
  5. Step 5: Solve for x
    x = 8,017,757,499.56/102,182.66
  6. Step 6: Final answer
    x = 78,464.95

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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.