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Finding the Fourth Proportional to 362,188.74, 543,285.77 and 137,488.62

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Solution

The fourth proportional to 362,188.74, 543,285.77 and 137,488.62 is: 206,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,188.74 : 543,285.77 = 137,488.62 : x
  2. Step 2: Convert to fraction form
    362,188.74/543,285.77 = 137,488.62/x
  3. Step 3: Cross multiply
    362,188.74x = 543,285.77 × 137,488.62
  4. Step 4: Simplify right side
    362,188.74x = 74,695,610,095.49
  5. Step 5: Solve for x
    x = 74,695,610,095.49/362,188.74
  6. Step 6: Final answer
    x = 206,233.94

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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.