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Finding the Fourth Proportional to 267,543.44, 369,208.32 and 146,689.84

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Solution

The fourth proportional to 267,543.44, 369,208.32 and 146,689.84 is: 202,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,543.44 : 369,208.32 = 146,689.84 : x
  2. Step 2: Convert to fraction form
    267,543.44/369,208.32 = 146,689.84/x
  3. Step 3: Cross multiply
    267,543.44x = 369,208.32 × 146,689.84
  4. Step 4: Simplify right side
    267,543.44x = 54,159,109,387.47
  5. Step 5: Solve for x
    x = 54,159,109,387.47/267,543.44
  6. Step 6: Final answer
    x = 202,431.09

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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.