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Finding the Fourth Proportional to 296,158.50, 408,699 and 162,022.50

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Solution

The fourth proportional to 296,158.50, 408,699 and 162,022.50 is: 223,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,158.50 : 408,699 = 162,022.50 : x
  2. Step 2: Convert to fraction form
    296,158.50/408,699 = 162,022.50/x
  3. Step 3: Cross multiply
    296,158.50x = 408,699 × 162,022.50
  4. Step 4: Simplify right side
    296,158.50x = 66,218,433,727.50
  5. Step 5: Solve for x
    x = 66,218,433,727.50/296,158.50
  6. Step 6: Final answer
    x = 223,591.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.