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Finding the Fourth Proportional to 451,670.24, 677,531.28 and 136,094.24

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Solution

The fourth proportional to 451,670.24, 677,531.28 and 136,094.24 is: 204,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,670.24 : 677,531.28 = 136,094.24 : x
  2. Step 2: Convert to fraction form
    451,670.24/677,531.28 = 136,094.24/x
  3. Step 3: Cross multiply
    451,670.24x = 677,531.28 × 136,094.24
  4. Step 4: Simplify right side
    451,670.24x = 92,208,104,627.83
  5. Step 5: Solve for x
    x = 92,208,104,627.83/451,670.24
  6. Step 6: Final answer
    x = 204,149.17

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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.