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Finding the Fourth Proportional to 268,769.52, 402,790.32 and 102,466.80

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Solution

The fourth proportional to 268,769.52, 402,790.32 and 102,466.80 is: 153,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,769.52 : 402,790.32 = 102,466.80 : x
  2. Step 2: Convert to fraction form
    268,769.52/402,790.32 = 102,466.80/x
  3. Step 3: Cross multiply
    268,769.52x = 402,790.32 × 102,466.80
  4. Step 4: Simplify right side
    268,769.52x = 41,272,635,161.38
  5. Step 5: Solve for x
    x = 41,272,635,161.38/268,769.52
  6. Step 6: Final answer
    x = 153,561.44

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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.