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Finding the Fourth Proportional to 102,303.78, 141,183.05 and 56,365.31

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Solution

The fourth proportional to 102,303.78, 141,183.05 and 56,365.31 is: 77,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,303.78 : 141,183.05 = 56,365.31 : x
  2. Step 2: Convert to fraction form
    102,303.78/141,183.05 = 56,365.31/x
  3. Step 3: Cross multiply
    102,303.78x = 141,183.05 × 56,365.31
  4. Step 4: Simplify right side
    102,303.78x = 7,957,826,380.00
  5. Step 5: Solve for x
    x = 7,957,826,380.00/102,303.78
  6. Step 6: Final answer
    x = 77,786.24

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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.