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Finding the Fourth Proportional to 464,087.83, 696,132.34 and 127,131.44

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Solution

The fourth proportional to 464,087.83, 696,132.34 and 127,131.44 is: 190,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,087.83 : 696,132.34 = 127,131.44 : x
  2. Step 2: Convert to fraction form
    464,087.83/696,132.34 = 127,131.44/x
  3. Step 3: Cross multiply
    464,087.83x = 696,132.34 × 127,131.44
  4. Step 4: Simplify right side
    464,087.83x = 88,500,305,392.27
  5. Step 5: Solve for x
    x = 88,500,305,392.27/464,087.83
  6. Step 6: Final answer
    x = 190,697.32

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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.