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Finding the Fourth Proportional to 102,201.80, 141,045.26 and 56,879.28

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Solution

The fourth proportional to 102,201.80, 141,045.26 and 56,879.28 is: 78,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,201.80 : 141,045.26 = 56,879.28 : x
  2. Step 2: Convert to fraction form
    102,201.80/141,045.26 = 56,879.28/x
  3. Step 3: Cross multiply
    102,201.80x = 141,045.26 × 56,879.28
  4. Step 4: Simplify right side
    102,201.80x = 8,022,552,551.82
  5. Step 5: Solve for x
    x = 8,022,552,551.82/102,201.80
  6. Step 6: Final answer
    x = 78,497.18

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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.