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Finding the Fourth Proportional to 228,108.52, 342,218.52 and 160,771.88

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Solution

The fourth proportional to 228,108.52, 342,218.52 and 160,771.88 is: 241,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,108.52 : 342,218.52 = 160,771.88 : x
  2. Step 2: Convert to fraction form
    228,108.52/342,218.52 = 160,771.88/x
  3. Step 3: Cross multiply
    228,108.52x = 342,218.52 × 160,771.88
  4. Step 4: Simplify right side
    228,108.52x = 55,019,114,831.22
  5. Step 5: Solve for x
    x = 55,019,114,831.22/228,108.52
  6. Step 6: Final answer
    x = 241,197.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.