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Finding the Fourth Proportional to 205,444.53, 283,541.61 and 118,227.84

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Solution

The fourth proportional to 205,444.53, 283,541.61 and 118,227.84 is: 163,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,444.53 : 283,541.61 = 118,227.84 : x
  2. Step 2: Convert to fraction form
    205,444.53/283,541.61 = 118,227.84/x
  3. Step 3: Cross multiply
    205,444.53x = 283,541.61 × 118,227.84
  4. Step 4: Simplify right side
    205,444.53x = 33,522,512,676.69
  5. Step 5: Solve for x
    x = 33,522,512,676.69/205,444.53
  6. Step 6: Final answer
    x = 163,170.63

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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.