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Finding the Fourth Proportional to 137,162.53, 205,723.00 and 37,330.50

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Solution

The fourth proportional to 137,162.53, 205,723.00 and 37,330.50 is: 55,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,162.53 : 205,723.00 = 37,330.50 : x
  2. Step 2: Convert to fraction form
    137,162.53/205,723.00 = 37,330.50/x
  3. Step 3: Cross multiply
    137,162.53x = 205,723.00 × 37,330.50
  4. Step 4: Simplify right side
    137,162.53x = 7,679,742,305.30
  5. Step 5: Solve for x
    x = 7,679,742,305.30/137,162.53
  6. Step 6: Final answer
    x = 55,990.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.