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Finding the Fourth Proportional to 137,541.99, 205,381.74 and 109,143.24

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Solution

The fourth proportional to 137,541.99, 205,381.74 and 109,143.24 is: 162,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,541.99 : 205,381.74 = 109,143.24 : x
  2. Step 2: Convert to fraction form
    137,541.99/205,381.74 = 109,143.24/x
  3. Step 3: Cross multiply
    137,541.99x = 205,381.74 × 109,143.24
  4. Step 4: Simplify right side
    137,541.99x = 22,416,028,540.44
  5. Step 5: Solve for x
    x = 22,416,028,540.44/137,541.99
  6. Step 6: Final answer
    x = 162,975.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.