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Finding the Fourth Proportional to 134,096.14, 200,838.03 and 64,024.66

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Solution

The fourth proportional to 134,096.14, 200,838.03 and 64,024.66 is: 95,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,096.14 : 200,838.03 = 64,024.66 : x
  2. Step 2: Convert to fraction form
    134,096.14/200,838.03 = 64,024.66/x
  3. Step 3: Cross multiply
    134,096.14x = 200,838.03 × 64,024.66
  4. Step 4: Simplify right side
    134,096.14x = 12,858,586,585.82
  5. Step 5: Solve for x
    x = 12,858,586,585.82/134,096.14
  6. Step 6: Final answer
    x = 95,890.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.