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Finding the Fourth Proportional to 275,599.82, 413,014.80 and 148,967.12

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Solution

The fourth proportional to 275,599.82, 413,014.80 and 148,967.12 is: 223,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,599.82 : 413,014.80 = 148,967.12 : x
  2. Step 2: Convert to fraction form
    275,599.82/413,014.80 = 148,967.12/x
  3. Step 3: Cross multiply
    275,599.82x = 413,014.80 × 148,967.12
  4. Step 4: Simplify right side
    275,599.82x = 61,525,625,273.38
  5. Step 5: Solve for x
    x = 61,525,625,273.38/275,599.82
  6. Step 6: Final answer
    x = 223,242.62

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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.