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Finding the Fourth Proportional to 267,077.85, 368,566.74 and 146,218.11

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Solution

The fourth proportional to 267,077.85, 368,566.74 and 146,218.11 is: 201,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,077.85 : 368,566.74 = 146,218.11 : x
  2. Step 2: Convert to fraction form
    267,077.85/368,566.74 = 146,218.11/x
  3. Step 3: Cross multiply
    267,077.85x = 368,566.74 × 146,218.11
  4. Step 4: Simplify right side
    267,077.85x = 53,891,132,131.66
  5. Step 5: Solve for x
    x = 53,891,132,131.66/267,077.85
  6. Step 6: Final answer
    x = 201,780.61

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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.