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Finding the Fourth Proportional to 277,057.68, 415,599.06 and 84,918.24

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Solution

The fourth proportional to 277,057.68, 415,599.06 and 84,918.24 is: 127,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,057.68 : 415,599.06 = 84,918.24 : x
  2. Step 2: Convert to fraction form
    277,057.68/415,599.06 = 84,918.24/x
  3. Step 3: Cross multiply
    277,057.68x = 415,599.06 × 84,918.24
  4. Step 4: Simplify right side
    277,057.68x = 35,291,940,720.85
  5. Step 5: Solve for x
    x = 35,291,940,720.85/277,057.68
  6. Step 6: Final answer
    x = 127,381.20

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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.