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Finding the Fourth Proportional to 142,096.84, 196,095.26 and 78,434.69

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Solution

The fourth proportional to 142,096.84, 196,095.26 and 78,434.69 is: 108,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,096.84 : 196,095.26 = 78,434.69 : x
  2. Step 2: Convert to fraction form
    142,096.84/196,095.26 = 78,434.69/x
  3. Step 3: Cross multiply
    142,096.84x = 196,095.26 × 78,434.69
  4. Step 4: Simplify right side
    142,096.84x = 15,380,670,144.18
  5. Step 5: Solve for x
    x = 15,380,670,144.18/142,096.84
  6. Step 6: Final answer
    x = 108,240.76

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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.