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Finding the Fourth Proportional to 99,804.18, 137,724.51 and 54,473.37

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Solution

The fourth proportional to 99,804.18, 137,724.51 and 54,473.37 is: 75,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,804.18 : 137,724.51 = 54,473.37 : x
  2. Step 2: Convert to fraction form
    99,804.18/137,724.51 = 54,473.37/x
  3. Step 3: Cross multiply
    99,804.18x = 137,724.51 × 54,473.37
  4. Step 4: Simplify right side
    99,804.18x = 7,502,318,191.30
  5. Step 5: Solve for x
    x = 7,502,318,191.30/99,804.18
  6. Step 6: Final answer
    x = 75,170.38

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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.