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Finding the Fourth Proportional to 275,452.14, 413,352.96 and 117,681.78

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Solution

The fourth proportional to 275,452.14, 413,352.96 and 117,681.78 is: 176,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,452.14 : 413,352.96 = 117,681.78 : x
  2. Step 2: Convert to fraction form
    275,452.14/413,352.96 = 117,681.78/x
  3. Step 3: Cross multiply
    275,452.14x = 413,352.96 × 117,681.78
  4. Step 4: Simplify right side
    275,452.14x = 48,644,112,101.07
  5. Step 5: Solve for x
    x = 48,644,112,101.07/275,452.14
  6. Step 6: Final answer
    x = 176,597.33

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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.