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Finding the Fourth Proportional to 228,104.52, 342,212.54 and 160,767.87

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Solution

The fourth proportional to 228,104.52, 342,212.54 and 160,767.87 is: 241,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,104.52 : 342,212.54 = 160,767.87 : x
  2. Step 2: Convert to fraction form
    228,104.52/342,212.54 = 160,767.87/x
  3. Step 3: Cross multiply
    228,104.52x = 342,212.54 × 160,767.87
  4. Step 4: Simplify right side
    228,104.52x = 55,016,780,339.25
  5. Step 5: Solve for x
    x = 55,016,780,339.25/228,104.52
  6. Step 6: Final answer
    x = 241,191.10

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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.