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Finding the Fourth Proportional to 145,374.12, 200,728.26 and 117,205.56

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Solution

The fourth proportional to 145,374.12, 200,728.26 and 117,205.56 is: 161,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,374.12 : 200,728.26 = 117,205.56 : x
  2. Step 2: Convert to fraction form
    145,374.12/200,728.26 = 117,205.56/x
  3. Step 3: Cross multiply
    145,374.12x = 200,728.26 × 117,205.56
  4. Step 4: Simplify right side
    145,374.12x = 23,526,468,121.13
  5. Step 5: Solve for x
    x = 23,526,468,121.13/145,374.12
  6. Step 6: Final answer
    x = 161,833.95

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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.