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Finding the Fourth Proportional to 267,698.12, 369,428.31 and 146,845.58

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Solution

The fourth proportional to 267,698.12, 369,428.31 and 146,845.58 is: 202,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,698.12 : 369,428.31 = 146,845.58 : x
  2. Step 2: Convert to fraction form
    267,698.12/369,428.31 = 146,845.58/x
  3. Step 3: Cross multiply
    267,698.12x = 369,428.31 × 146,845.58
  4. Step 4: Simplify right side
    267,698.12x = 54,248,912,603.23
  5. Step 5: Solve for x
    x = 54,248,912,603.23/267,698.12
  6. Step 6: Final answer
    x = 202,649.59

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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.