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Finding the Fourth Proportional to 295,189.80, 407,366.46 and 161,053.80

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Solution

The fourth proportional to 295,189.80, 407,366.46 and 161,053.80 is: 222,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,189.80 : 407,366.46 = 161,053.80 : x
  2. Step 2: Convert to fraction form
    295,189.80/407,366.46 = 161,053.80/x
  3. Step 3: Cross multiply
    295,189.80x = 407,366.46 × 161,053.80
  4. Step 4: Simplify right side
    295,189.80x = 65,607,916,375.55
  5. Step 5: Solve for x
    x = 65,607,916,375.55/295,189.80
  6. Step 6: Final answer
    x = 222,256.72

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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.