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Finding the Fourth Proportional to 178,426.50, 246,231.93 and 97,849.21

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Solution

The fourth proportional to 178,426.50, 246,231.93 and 97,849.21 is: 135,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,426.50 : 246,231.93 = 97,849.21 : x
  2. Step 2: Convert to fraction form
    178,426.50/246,231.93 = 97,849.21/x
  3. Step 3: Cross multiply
    178,426.50x = 246,231.93 × 97,849.21
  4. Step 4: Simplify right side
    178,426.50x = 24,093,599,827.28
  5. Step 5: Solve for x
    x = 24,093,599,827.28/178,426.50
  6. Step 6: Final answer
    x = 135,033.75

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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.