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Finding the Fourth Proportional to 537,162.89, 805,794.91 and 158,083.80

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Solution

The fourth proportional to 537,162.89, 805,794.91 and 158,083.80 is: 237,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,162.89 : 805,794.91 = 158,083.80 : x
  2. Step 2: Convert to fraction form
    537,162.89/805,794.91 = 158,083.80/x
  3. Step 3: Cross multiply
    537,162.89x = 805,794.91 × 158,083.80
  4. Step 4: Simplify right side
    537,162.89x = 127,383,120,998.25
  5. Step 5: Solve for x
    x = 127,383,120,998.25/537,162.89
  6. Step 6: Final answer
    x = 237,140.59

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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.