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Finding the Fourth Proportional to 295,791.04, 408,191.76 and 161,655.04

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Solution

The fourth proportional to 295,791.04, 408,191.76 and 161,655.04 is: 223,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,791.04 : 408,191.76 = 161,655.04 : x
  2. Step 2: Convert to fraction form
    295,791.04/408,191.76 = 161,655.04/x
  3. Step 3: Cross multiply
    295,791.04x = 408,191.76 × 161,655.04
  4. Step 4: Simplify right side
    295,791.04x = 65,986,255,290.47
  5. Step 5: Solve for x
    x = 65,986,255,290.47/295,791.04
  6. Step 6: Final answer
    x = 223,084.02

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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.