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Finding the Fourth Proportional to 172,347.14, 237,839.02 and 96,896.18

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Solution

The fourth proportional to 172,347.14, 237,839.02 and 96,896.18 is: 133,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,347.14 : 237,839.02 = 96,896.18 : x
  2. Step 2: Convert to fraction form
    172,347.14/237,839.02 = 96,896.18/x
  3. Step 3: Cross multiply
    172,347.14x = 237,839.02 × 96,896.18
  4. Step 4: Simplify right side
    172,347.14x = 23,045,692,492.94
  5. Step 5: Solve for x
    x = 23,045,692,492.94/172,347.14
  6. Step 6: Final answer
    x = 133,716.71

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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.