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Finding the Fourth Proportional to 228,466.42, 315,283.62 and 127,864.42

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Solution

The fourth proportional to 228,466.42, 315,283.62 and 127,864.42 is: 176,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,466.42 : 315,283.62 = 127,864.42 : x
  2. Step 2: Convert to fraction form
    228,466.42/315,283.62 = 127,864.42/x
  3. Step 3: Cross multiply
    228,466.42x = 315,283.62 × 127,864.42
  4. Step 4: Simplify right side
    228,466.42x = 40,313,557,206.80
  5. Step 5: Solve for x
    x = 40,313,557,206.80/228,466.42
  6. Step 6: Final answer
    x = 176,452.88

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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.