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Finding the Fourth Proportional to 362,755.20, 543,938.40 and 152,155.20

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Solution

The fourth proportional to 362,755.20, 543,938.40 and 152,155.20 is: 228,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,755.20 : 543,938.40 = 152,155.20 : x
  2. Step 2: Convert to fraction form
    362,755.20/543,938.40 = 152,155.20/x
  3. Step 3: Cross multiply
    362,755.20x = 543,938.40 × 152,155.20
  4. Step 4: Simplify right side
    362,755.20x = 82,763,056,039.68
  5. Step 5: Solve for x
    x = 82,763,056,039.68/362,755.20
  6. Step 6: Final answer
    x = 228,151.26

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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.