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Finding the Fourth Proportional to 99,535.14, 137,360.13 and 54,214

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Solution

The fourth proportional to 99,535.14, 137,360.13 and 54,214 is: 74,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,535.14 : 137,360.13 = 54,214 : x
  2. Step 2: Convert to fraction form
    99,535.14/137,360.13 = 54,214/x
  3. Step 3: Cross multiply
    99,535.14x = 137,360.13 × 54,214
  4. Step 4: Simplify right side
    99,535.14x = 7,446,842,087.82
  5. Step 5: Solve for x
    x = 7,446,842,087.82/99,535.14
  6. Step 6: Final answer
    x = 74,816.21

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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.