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Finding the Fourth Proportional to 362,402.20, 543,797.70 and 152,061.40

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Solution

The fourth proportional to 362,402.20, 543,797.70 and 152,061.40 is: 228,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,402.20 : 543,797.70 = 152,061.40 : x
  2. Step 2: Convert to fraction form
    362,402.20/543,797.70 = 152,061.40/x
  3. Step 3: Cross multiply
    362,402.20x = 543,797.70 × 152,061.40
  4. Step 4: Simplify right side
    362,402.20x = 82,690,639,578.78
  5. Step 5: Solve for x
    x = 82,690,639,578.78/362,402.20
  6. Step 6: Final answer
    x = 228,173.67

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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.