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Finding the Fourth Proportional to 205,411.86, 283,440.18 and 114,756.57

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Solution

The fourth proportional to 205,411.86, 283,440.18 and 114,756.57 is: 158,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,411.86 : 283,440.18 = 114,756.57 : x
  2. Step 2: Convert to fraction form
    205,411.86/283,440.18 = 114,756.57/x
  3. Step 3: Cross multiply
    205,411.86x = 283,440.18 × 114,756.57
  4. Step 4: Simplify right side
    205,411.86x = 32,526,622,856.98
  5. Step 5: Solve for x
    x = 32,526,622,856.98/205,411.86
  6. Step 6: Final answer
    x = 158,348.32

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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.