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Finding the Fourth Proportional to 176,806.09, 243,997.56 and 96,238.82

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Solution

The fourth proportional to 176,806.09, 243,997.56 and 96,238.82 is: 132,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,806.09 : 243,997.56 = 96,238.82 : x
  2. Step 2: Convert to fraction form
    176,806.09/243,997.56 = 96,238.82/x
  3. Step 3: Cross multiply
    176,806.09x = 243,997.56 × 96,238.82
  4. Step 4: Simplify right side
    176,806.09x = 23,482,037,257.28
  5. Step 5: Solve for x
    x = 23,482,037,257.28/176,806.09
  6. Step 6: Final answer
    x = 132,812.38

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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.