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Finding the Fourth Proportional to 275,377.12, 413,070.24 and 75,696.28

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Solution

The fourth proportional to 275,377.12, 413,070.24 and 75,696.28 is: 113,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,377.12 : 413,070.24 = 75,696.28 : x
  2. Step 2: Convert to fraction form
    275,377.12/413,070.24 = 75,696.28/x
  3. Step 3: Cross multiply
    275,377.12x = 413,070.24 × 75,696.28
  4. Step 4: Simplify right side
    275,377.12x = 31,267,880,546.71
  5. Step 5: Solve for x
    x = 31,267,880,546.71/275,377.12
  6. Step 6: Final answer
    x = 113,545.67

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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.