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Finding the Fourth Proportional to 362,318.80, 543,607.80 and 152,021.20

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Solution

The fourth proportional to 362,318.80, 543,607.80 and 152,021.20 is: 228,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,318.80 : 543,607.80 = 152,021.20 : x
  2. Step 2: Convert to fraction form
    362,318.80/543,607.80 = 152,021.20/x
  3. Step 3: Cross multiply
    362,318.80x = 543,607.80 × 152,021.20
  4. Step 4: Simplify right side
    362,318.80x = 82,639,910,085.36
  5. Step 5: Solve for x
    x = 82,639,910,085.36/362,318.80
  6. Step 6: Final answer
    x = 228,086.18

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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.