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Finding the Fourth Proportional to 140,370.61, 193,715.67 and 76,709.47

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Solution

The fourth proportional to 140,370.61, 193,715.67 and 76,709.47 is: 105,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,370.61 : 193,715.67 = 76,709.47 : x
  2. Step 2: Convert to fraction form
    140,370.61/193,715.67 = 76,709.47/x
  3. Step 3: Cross multiply
    140,370.61x = 193,715.67 × 76,709.47
  4. Step 4: Simplify right side
    140,370.61x = 14,859,826,376.39
  5. Step 5: Solve for x
    x = 14,859,826,376.39/140,370.61
  6. Step 6: Final answer
    x = 105,861.38

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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.