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Finding the Fourth Proportional to 140,462.64, 193,838.48 and 76,800.96

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Solution

The fourth proportional to 140,462.64, 193,838.48 and 76,800.96 is: 105,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,462.64 : 193,838.48 = 76,800.96 : x
  2. Step 2: Convert to fraction form
    140,462.64/193,838.48 = 76,800.96/x
  3. Step 3: Cross multiply
    140,462.64x = 193,838.48 × 76,800.96
  4. Step 4: Simplify right side
    140,462.64x = 14,886,981,348.94
  5. Step 5: Solve for x
    x = 14,886,981,348.94/140,462.64
  6. Step 6: Final answer
    x = 105,985.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.