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Finding the Fourth Proportional to 117,834.70, 176,647.28 and 42,940.76

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Solution

The fourth proportional to 117,834.70, 176,647.28 and 42,940.76 is: 64,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,834.70 : 176,647.28 = 42,940.76 : x
  2. Step 2: Convert to fraction form
    117,834.70/176,647.28 = 42,940.76/x
  3. Step 3: Cross multiply
    117,834.70x = 176,647.28 × 42,940.76
  4. Step 4: Simplify right side
    117,834.70x = 7,585,368,455.13
  5. Step 5: Solve for x
    x = 7,585,368,455.13/117,834.70
  6. Step 6: Final answer
    x = 64,372.96

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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.