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Finding the Fourth Proportional to 228,106.52, 342,215.54 and 160,769.88

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Solution

The fourth proportional to 228,106.52, 342,215.54 and 160,769.88 is: 241,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,106.52 : 342,215.54 = 160,769.88 : x
  2. Step 2: Convert to fraction form
    228,106.52/342,215.54 = 160,769.88/x
  3. Step 3: Cross multiply
    228,106.52x = 342,215.54 × 160,769.88
  4. Step 4: Simplify right side
    228,106.52x = 55,017,951,299.94
  5. Step 5: Solve for x
    x = 55,017,951,299.94/228,106.52
  6. Step 6: Final answer
    x = 241,194.12

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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.