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Finding the Fourth Proportional to 464,100.21, 696,150.92 and 127,143.82

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Solution

The fourth proportional to 464,100.21, 696,150.92 and 127,143.82 is: 190,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,100.21 : 696,150.92 = 127,143.82 : x
  2. Step 2: Convert to fraction form
    464,100.21/696,150.92 = 127,143.82/x
  3. Step 3: Cross multiply
    464,100.21x = 696,150.92 × 127,143.82
  4. Step 4: Simplify right side
    464,100.21x = 88,511,288,453.36
  5. Step 5: Solve for x
    x = 88,511,288,453.36/464,100.21
  6. Step 6: Final answer
    x = 190,715.90

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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.