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Finding the Fourth Proportional to 267,717.31, 369,446.43 and 152,994.63

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Solution

The fourth proportional to 267,717.31, 369,446.43 and 152,994.63 is: 211,130.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,717.31 : 369,446.43 = 152,994.63 : x
  2. Step 2: Convert to fraction form
    267,717.31/369,446.43 = 152,994.63/x
  3. Step 3: Cross multiply
    267,717.31x = 369,446.43 × 152,994.63
  4. Step 4: Simplify right side
    267,717.31x = 56,523,321,821.82
  5. Step 5: Solve for x
    x = 56,523,321,821.82/267,717.31
  6. Step 6: Final answer
    x = 211,130.62

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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.