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Finding the Fourth Proportional to 267,827, 369,600.22 and 146,970.30

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Solution

The fourth proportional to 267,827, 369,600.22 and 146,970.30 is: 202,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,827 : 369,600.22 = 146,970.30 : x
  2. Step 2: Convert to fraction form
    267,827/369,600.22 = 146,970.30/x
  3. Step 3: Cross multiply
    267,827x = 369,600.22 × 146,970.30
  4. Step 4: Simplify right side
    267,827x = 54,320,255,213.47
  5. Step 5: Solve for x
    x = 54,320,255,213.47/267,827
  6. Step 6: Final answer
    x = 202,818.44

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1.5x scale

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.