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Finding the Fourth Proportional to 110,715.10, 166,072.65 and 75,285.70

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Solution

The fourth proportional to 110,715.10, 166,072.65 and 75,285.70 is: 112,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,715.10 : 166,072.65 = 75,285.70 : x
  2. Step 2: Convert to fraction form
    110,715.10/166,072.65 = 75,285.70/x
  3. Step 3: Cross multiply
    110,715.10x = 166,072.65 × 75,285.70
  4. Step 4: Simplify right side
    110,715.10x = 12,502,895,706.11
  5. Step 5: Solve for x
    x = 12,502,895,706.11/110,715.10
  6. Step 6: Final answer
    x = 112,928.55

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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.