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Finding the Fourth Proportional to 267,644.90, 369,354.71 and 146,785.14

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Solution

The fourth proportional to 267,644.90, 369,354.71 and 146,785.14 is: 202,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,644.90 : 369,354.71 = 146,785.14 : x
  2. Step 2: Convert to fraction form
    267,644.90/369,354.71 = 146,785.14/x
  3. Step 3: Cross multiply
    267,644.90x = 369,354.71 × 146,785.14
  4. Step 4: Simplify right side
    267,644.90x = 54,215,782,817.01
  5. Step 5: Solve for x
    x = 54,215,782,817.01/267,644.90
  6. Step 6: Final answer
    x = 202,566.10

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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.