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Finding the Fourth Proportional to 145,505.88, 200,796.12 and 81,843.60

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Solution

The fourth proportional to 145,505.88, 200,796.12 and 81,843.60 is: 112,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,505.88 : 200,796.12 = 81,843.60 : x
  2. Step 2: Convert to fraction form
    145,505.88/200,796.12 = 81,843.60/x
  3. Step 3: Cross multiply
    145,505.88x = 200,796.12 × 81,843.60
  4. Step 4: Simplify right side
    145,505.88x = 16,433,877,326.83
  5. Step 5: Solve for x
    x = 16,433,877,326.83/145,505.88
  6. Step 6: Final answer
    x = 112,943.05

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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.