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Finding the Fourth Proportional to 176,324.82, 243,343.32 and 99,857.43

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Solution

The fourth proportional to 176,324.82, 243,343.32 and 99,857.43 is: 137,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,324.82 : 243,343.32 = 99,857.43 : x
  2. Step 2: Convert to fraction form
    176,324.82/243,343.32 = 99,857.43/x
  3. Step 3: Cross multiply
    176,324.82x = 243,343.32 × 99,857.43
  4. Step 4: Simplify right side
    176,324.82x = 24,299,638,542.87
  5. Step 5: Solve for x
    x = 24,299,638,542.87/176,324.82
  6. Step 6: Final answer
    x = 137,811.79

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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.