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Finding the Fourth Proportional to 275,929.32, 413,892.96 and 76,249.32

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Solution

The fourth proportional to 275,929.32, 413,892.96 and 76,249.32 is: 114,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,929.32 : 413,892.96 = 76,249.32 : x
  2. Step 2: Convert to fraction form
    275,929.32/413,892.96 = 76,249.32/x
  3. Step 3: Cross multiply
    275,929.32x = 413,892.96 × 76,249.32
  4. Step 4: Simplify right side
    275,929.32x = 31,559,056,752.79
  5. Step 5: Solve for x
    x = 31,559,056,752.79/275,929.32
  6. Step 6: Final answer
    x = 114,373.70

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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.