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Finding the Fourth Proportional to 464,085.81, 696,129.31 and 127,129.42

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Solution

The fourth proportional to 464,085.81, 696,129.31 and 127,129.42 is: 190,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,085.81 : 696,129.31 = 127,129.42 : x
  2. Step 2: Convert to fraction form
    464,085.81/696,129.31 = 127,129.42/x
  3. Step 3: Cross multiply
    464,085.81x = 696,129.31 × 127,129.42
  4. Step 4: Simplify right side
    464,085.81x = 88,498,515,425.30
  5. Step 5: Solve for x
    x = 88,498,515,425.30/464,085.81
  6. Step 6: Final answer
    x = 190,694.29

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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.