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Finding the Fourth Proportional to 102,206.46, 153,317.34 and 27,324.93

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Solution

The fourth proportional to 102,206.46, 153,317.34 and 27,324.93 is: 40,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206.46 : 153,317.34 = 27,324.93 : x
  2. Step 2: Convert to fraction form
    102,206.46/153,317.34 = 27,324.93/x
  3. Step 3: Cross multiply
    102,206.46x = 153,317.34 × 27,324.93
  4. Step 4: Simplify right side
    102,206.46x = 4,189,385,583.29
  5. Step 5: Solve for x
    x = 4,189,385,583.29/102,206.46
  6. Step 6: Final answer
    x = 40,989.44

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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.