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Finding the Fourth Proportional to 267,644.52, 369,354.16 and 146,784.75

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Solution

The fourth proportional to 267,644.52, 369,354.16 and 146,784.75 is: 202,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,644.52 : 369,354.16 = 146,784.75 : x
  2. Step 2: Convert to fraction form
    267,644.52/369,354.16 = 146,784.75/x
  3. Step 3: Cross multiply
    267,644.52x = 369,354.16 × 146,784.75
  4. Step 4: Simplify right side
    267,644.52x = 54,215,556,835.46
  5. Step 5: Solve for x
    x = 54,215,556,835.46/267,644.52
  6. Step 6: Final answer
    x = 202,565.54

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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.