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Finding the Fourth Proportional to 362,176.30, 543,264.45 and 162,503.20

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Solution

The fourth proportional to 362,176.30, 543,264.45 and 162,503.20 is: 243,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,176.30 : 543,264.45 = 162,503.20 : x
  2. Step 2: Convert to fraction form
    362,176.30/543,264.45 = 162,503.20/x
  3. Step 3: Cross multiply
    362,176.30x = 543,264.45 × 162,503.20
  4. Step 4: Simplify right side
    362,176.30x = 88,282,211,571.24
  5. Step 5: Solve for x
    x = 88,282,211,571.24/362,176.30
  6. Step 6: Final answer
    x = 243,754.80

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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.