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Finding the Fourth Proportional to 142,657.38, 196,864.76 and 78,993.81

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Solution

The fourth proportional to 142,657.38, 196,864.76 and 78,993.81 is: 109,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.38 : 196,864.76 = 78,993.81 : x
  2. Step 2: Convert to fraction form
    142,657.38/196,864.76 = 78,993.81/x
  3. Step 3: Cross multiply
    142,657.38x = 196,864.76 × 78,993.81
  4. Step 4: Simplify right side
    142,657.38x = 15,551,096,511.41
  5. Step 5: Solve for x
    x = 15,551,096,511.41/142,657.38
  6. Step 6: Final answer
    x = 109,010.11

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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.