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Finding the Fourth Proportional to 295,749.64, 408,135.54 and 161,616.52

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Solution

The fourth proportional to 295,749.64, 408,135.54 and 161,616.52 is: 223,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,749.64 : 408,135.54 = 161,616.52 : x
  2. Step 2: Convert to fraction form
    295,749.64/408,135.54 = 161,616.52/x
  3. Step 3: Cross multiply
    295,749.64x = 408,135.54 × 161,616.52
  4. Step 4: Simplify right side
    295,749.64x = 65,961,445,663.12
  5. Step 5: Solve for x
    x = 65,961,445,663.12/295,749.64
  6. Step 6: Final answer
    x = 223,031.36

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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.