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Finding the Fourth Proportional to 362,203.73, 543,084.16 and 172,722.05

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Solution

The fourth proportional to 362,203.73, 543,084.16 and 172,722.05 is: 258,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,203.73 : 543,084.16 = 172,722.05 : x
  2. Step 2: Convert to fraction form
    362,203.73/543,084.16 = 172,722.05/x
  3. Step 3: Cross multiply
    362,203.73x = 543,084.16 × 172,722.05
  4. Step 4: Simplify right side
    362,203.73x = 93,802,609,437.73
  5. Step 5: Solve for x
    x = 93,802,609,437.73/362,203.73
  6. Step 6: Final answer
    x = 258,977.48

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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.