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Finding the Fourth Proportional to 177,747.84, 245,268.24 and 114,171.84

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Solution

The fourth proportional to 177,747.84, 245,268.24 and 114,171.84 is: 157,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,747.84 : 245,268.24 = 114,171.84 : x
  2. Step 2: Convert to fraction form
    177,747.84/245,268.24 = 114,171.84/x
  3. Step 3: Cross multiply
    177,747.84x = 245,268.24 × 114,171.84
  4. Step 4: Simplify right side
    177,747.84x = 28,002,726,254.36
  5. Step 5: Solve for x
    x = 28,002,726,254.36/177,747.84
  6. Step 6: Final answer
    x = 157,541.87

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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.