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Finding the Fourth Proportional to 200,504.56, 300,902.52 and 161,532.40

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Solution

The fourth proportional to 200,504.56, 300,902.52 and 161,532.40 is: 242,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,504.56 : 300,902.52 = 161,532.40 : x
  2. Step 2: Convert to fraction form
    200,504.56/300,902.52 = 161,532.40/x
  3. Step 3: Cross multiply
    200,504.56x = 300,902.52 × 161,532.40
  4. Step 4: Simplify right side
    200,504.56x = 48,605,506,221.65
  5. Step 5: Solve for x
    x = 48,605,506,221.65/200,504.56
  6. Step 6: Final answer
    x = 242,415.96

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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.