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Finding the Fourth Proportional to 105,754.38, 158,631.57 and 61,688.76

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Solution

The fourth proportional to 105,754.38, 158,631.57 and 61,688.76 is: 92,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,754.38 : 158,631.57 = 61,688.76 : x
  2. Step 2: Convert to fraction form
    105,754.38/158,631.57 = 61,688.76/x
  3. Step 3: Cross multiply
    105,754.38x = 158,631.57 × 61,688.76
  4. Step 4: Simplify right side
    105,754.38x = 9,785,784,850.15
  5. Step 5: Solve for x
    x = 9,785,784,850.15/105,754.38
  6. Step 6: Final answer
    x = 92,533.14

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Why These Related Problems?

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