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Finding the Fourth Proportional to 275,376.12, 413,068.74 and 75,695.28

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Solution

The fourth proportional to 275,376.12, 413,068.74 and 75,695.28 is: 113,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,376.12 : 413,068.74 = 75,695.28 : x
  2. Step 2: Convert to fraction form
    275,376.12/413,068.74 = 75,695.28/x
  3. Step 3: Cross multiply
    275,376.12x = 413,068.74 × 75,695.28
  4. Step 4: Simplify right side
    275,376.12x = 31,267,353,933.55
  5. Step 5: Solve for x
    x = 31,267,353,933.55/275,376.12
  6. Step 6: Final answer
    x = 113,544.17

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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.