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Finding the Fourth Proportional to 362,053.85, 543,257.15 and 148,885.80

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Solution

The fourth proportional to 362,053.85, 543,257.15 and 148,885.80 is: 223,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,053.85 : 543,257.15 = 148,885.80 : x
  2. Step 2: Convert to fraction form
    362,053.85/543,257.15 = 148,885.80/x
  3. Step 3: Cross multiply
    362,053.85x = 543,257.15 × 148,885.80
  4. Step 4: Simplify right side
    362,053.85x = 80,883,274,639.04
  5. Step 5: Solve for x
    x = 80,883,274,639.04/362,053.85
  6. Step 6: Final answer
    x = 223,401.23

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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.