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Finding the Fourth Proportional to 464,181.77, 696,197.91 and 127,143.59

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Solution

The fourth proportional to 464,181.77, 696,197.91 and 127,143.59 is: 190,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,181.77 : 696,197.91 = 127,143.59 : x
  2. Step 2: Convert to fraction form
    464,181.77/696,197.91 = 127,143.59/x
  3. Step 3: Cross multiply
    464,181.77x = 696,197.91 × 127,143.59
  4. Step 4: Simplify right side
    464,181.77x = 88,517,098,146.91
  5. Step 5: Solve for x
    x = 88,517,098,146.91/464,181.77
  6. Step 6: Final answer
    x = 190,694.91

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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.