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Finding the Fourth Proportional to 275,443.60, 413,141.10 and 75,746.20

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Solution

The fourth proportional to 275,443.60, 413,141.10 and 75,746.20 is: 113,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,443.60 : 413,141.10 = 75,746.20 : x
  2. Step 2: Convert to fraction form
    275,443.60/413,141.10 = 75,746.20/x
  3. Step 3: Cross multiply
    275,443.60x = 413,141.10 × 75,746.20
  4. Step 4: Simplify right side
    275,443.60x = 31,293,868,388.82
  5. Step 5: Solve for x
    x = 31,293,868,388.82/275,443.60
  6. Step 6: Final answer
    x = 113,612.62

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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.