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Finding the Fourth Proportional to 99,618.31, 137,471.37 and 54,296.58

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Solution

The fourth proportional to 99,618.31, 137,471.37 and 54,296.58 is: 74,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,618.31 : 137,471.37 = 54,296.58 : x
  2. Step 2: Convert to fraction form
    99,618.31/137,471.37 = 54,296.58/x
  3. Step 3: Cross multiply
    99,618.31x = 137,471.37 × 54,296.58
  4. Step 4: Simplify right side
    99,618.31x = 7,464,225,238.91
  5. Step 5: Solve for x
    x = 7,464,225,238.91/99,618.31
  6. Step 6: Final answer
    x = 74,928.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.