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Finding the Fourth Proportional to 228,270.41, 342,478.52 and 109,953.71

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Solution

The fourth proportional to 228,270.41, 342,478.52 and 109,953.71 is: 164,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,270.41 : 342,478.52 = 109,953.71 : x
  2. Step 2: Convert to fraction form
    228,270.41/342,478.52 = 109,953.71/x
  3. Step 3: Cross multiply
    228,270.41x = 342,478.52 × 109,953.71
  4. Step 4: Simplify right side
    228,270.41x = 37,656,783,869.31
  5. Step 5: Solve for x
    x = 37,656,783,869.31/228,270.41
  6. Step 6: Final answer
    x = 164,965.68

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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.