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Finding the Fourth Proportional to 362,364.10, 543,610.95 and 152,023.30

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Solution

The fourth proportional to 362,364.10, 543,610.95 and 152,023.30 is: 228,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,364.10 : 543,610.95 = 152,023.30 : x
  2. Step 2: Convert to fraction form
    362,364.10/543,610.95 = 152,023.30/x
  3. Step 3: Cross multiply
    362,364.10x = 543,610.95 × 152,023.30
  4. Step 4: Simplify right side
    362,364.10x = 82,641,530,535.14
  5. Step 5: Solve for x
    x = 82,641,530,535.14/362,364.10
  6. Step 6: Final answer
    x = 228,062.14

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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.