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Finding the Fourth Proportional to 100,257.90, 138,355.93 and 54,935.51

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Solution

The fourth proportional to 100,257.90, 138,355.93 and 54,935.51 is: 75,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,257.90 : 138,355.93 = 54,935.51 : x
  2. Step 2: Convert to fraction form
    100,257.90/138,355.93 = 54,935.51/x
  3. Step 3: Cross multiply
    100,257.90x = 138,355.93 × 54,935.51
  4. Step 4: Simplify right side
    100,257.90x = 7,600,653,576.07
  5. Step 5: Solve for x
    x = 7,600,653,576.07/100,257.90
  6. Step 6: Final answer
    x = 75,811.02

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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.