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Finding the Fourth Proportional to 267,427.82, 369,053.22 and 146,566.44

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Solution

The fourth proportional to 267,427.82, 369,053.22 and 146,566.44 is: 202,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,427.82 : 369,053.22 = 146,566.44 : x
  2. Step 2: Convert to fraction form
    267,427.82/369,053.22 = 146,566.44/x
  3. Step 3: Cross multiply
    267,427.82x = 369,053.22 × 146,566.44
  4. Step 4: Simplify right side
    267,427.82x = 54,090,816,625.94
  5. Step 5: Solve for x
    x = 54,090,816,625.94/267,427.82
  6. Step 6: Final answer
    x = 202,263.24

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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.