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Finding the Fourth Proportional to 362,441.31, 543,523.45 and 119,225.80

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Solution

The fourth proportional to 362,441.31, 543,523.45 and 119,225.80 is: 178,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,441.31 : 543,523.45 = 119,225.80 : x
  2. Step 2: Convert to fraction form
    362,441.31/543,523.45 = 119,225.80/x
  3. Step 3: Cross multiply
    362,441.31x = 543,523.45 × 119,225.80
  4. Step 4: Simplify right side
    362,441.31x = 64,802,018,145.01
  5. Step 5: Solve for x
    x = 64,802,018,145.01/362,441.31
  6. Step 6: Final answer
    x = 178,793.14

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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.