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Finding the Fourth Proportional to 205,406.61, 283,432.94 and 114,751.31

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Solution

The fourth proportional to 205,406.61, 283,432.94 and 114,751.31 is: 158,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,406.61 : 283,432.94 = 114,751.31 : x
  2. Step 2: Convert to fraction form
    205,406.61/283,432.94 = 114,751.31/x
  3. Step 3: Cross multiply
    205,406.61x = 283,432.94 × 114,751.31
  4. Step 4: Simplify right side
    205,406.61x = 32,524,299,601.55
  5. Step 5: Solve for x
    x = 32,524,299,601.55/205,406.61
  6. Step 6: Final answer
    x = 158,341.06

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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.