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Finding the Fourth Proportional to 205,339.95, 283,366.10 and 114,697.19

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Solution

The fourth proportional to 205,339.95, 283,366.10 and 114,697.19 is: 158,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,339.95 : 283,366.10 = 114,697.19 : x
  2. Step 2: Convert to fraction form
    205,339.95/283,366.10 = 114,697.19/x
  3. Step 3: Cross multiply
    205,339.95x = 283,366.10 × 114,697.19
  4. Step 4: Simplify right side
    205,339.95x = 32,501,296,406.42
  5. Step 5: Solve for x
    x = 32,501,296,406.42/205,339.95
  6. Step 6: Final answer
    x = 158,280.43

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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.