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Finding the Fourth Proportional to 176,450, 243,501 and 96,962

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Solution

The fourth proportional to 176,450, 243,501 and 96,962 is: 133,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,450 : 243,501 = 96,962 : x
  2. Step 2: Convert to fraction form
    176,450/243,501 = 96,962/x
  3. Step 3: Cross multiply
    176,450x = 243,501 × 96,962
  4. Step 4: Simplify right side
    176,450x = 23,610,343,962
  5. Step 5: Solve for x
    x = 23,610,343,962/176,450
  6. Step 6: Final answer
    x = 133,807.56

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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.