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Finding the Fourth Proportional to 140,229.24, 193,450.86 and 94,893

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Solution

The fourth proportional to 140,229.24, 193,450.86 and 94,893 is: 130,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,229.24 : 193,450.86 = 94,893 : x
  2. Step 2: Convert to fraction form
    140,229.24/193,450.86 = 94,893/x
  3. Step 3: Cross multiply
    140,229.24x = 193,450.86 × 94,893
  4. Step 4: Simplify right side
    140,229.24x = 18,357,132,457.98
  5. Step 5: Solve for x
    x = 18,357,132,457.98/140,229.24
  6. Step 6: Final answer
    x = 130,908.02

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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.