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Finding the Fourth Proportional to 99,711, 137,601.18 and 54,999

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Solution

The fourth proportional to 99,711, 137,601.18 and 54,999 is: 75,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711 : 137,601.18 = 54,999 : x
  2. Step 2: Convert to fraction form
    99,711/137,601.18 = 54,999/x
  3. Step 3: Cross multiply
    99,711x = 137,601.18 × 54,999
  4. Step 4: Simplify right side
    99,711x = 7,567,927,298.82
  5. Step 5: Solve for x
    x = 7,567,927,298.82/99,711
  6. Step 6: Final answer
    x = 75,898.62

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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.