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Finding the Fourth Proportional to 205,491.56, 283,573.02 and 114,848.28

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Solution

The fourth proportional to 205,491.56, 283,573.02 and 114,848.28 is: 158,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,491.56 : 283,573.02 = 114,848.28 : x
  2. Step 2: Convert to fraction form
    205,491.56/283,573.02 = 114,848.28/x
  3. Step 3: Cross multiply
    205,491.56x = 283,573.02 × 114,848.28
  4. Step 4: Simplify right side
    205,491.56x = 32,567,873,601.41
  5. Step 5: Solve for x
    x = 32,567,873,601.41/205,491.56
  6. Step 6: Final answer
    x = 158,487.65

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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.