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Finding the Fourth Proportional to 295,785, 408,193.38 and 161,657.64

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Solution

The fourth proportional to 295,785, 408,193.38 and 161,657.64 is: 223,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,785 : 408,193.38 = 161,657.64 : x
  2. Step 2: Convert to fraction form
    295,785/408,193.38 = 161,657.64/x
  3. Step 3: Cross multiply
    295,785x = 408,193.38 × 161,657.64
  4. Step 4: Simplify right side
    295,785x = 65,987,578,474.42
  5. Step 5: Solve for x
    x = 65,987,578,474.42/295,785
  6. Step 6: Final answer
    x = 223,093.05

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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.