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Finding the Fourth Proportional to 275,563, 412,959.42 and 148,930.24

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Solution

The fourth proportional to 275,563, 412,959.42 and 148,930.24 is: 223,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,563 : 412,959.42 = 148,930.24 : x
  2. Step 2: Convert to fraction form
    275,563/412,959.42 = 148,930.24/x
  3. Step 3: Cross multiply
    275,563x = 412,959.42 × 148,930.24
  4. Step 4: Simplify right side
    275,563x = 61,502,145,530.86
  5. Step 5: Solve for x
    x = 61,502,145,530.86/275,563
  6. Step 6: Final answer
    x = 223,187.24

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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.