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Finding the Fourth Proportional to 295,774.50, 408,168.81 and 161,638.50

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Solution

The fourth proportional to 295,774.50, 408,168.81 and 161,638.50 is: 223,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,774.50 : 408,168.81 = 161,638.50 : x
  2. Step 2: Convert to fraction form
    295,774.50/408,168.81 = 161,638.50/x
  3. Step 3: Cross multiply
    295,774.50x = 408,168.81 × 161,638.50
  4. Step 4: Simplify right side
    295,774.50x = 65,975,794,195.19
  5. Step 5: Solve for x
    x = 65,975,794,195.19/295,774.50
  6. Step 6: Final answer
    x = 223,061.13

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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.