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Finding the Fourth Proportional to 267,712.60, 369,436.45 and 152,983.95

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Solution

The fourth proportional to 267,712.60, 369,436.45 and 152,983.95 is: 211,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,712.60 : 369,436.45 = 152,983.95 : x
  2. Step 2: Convert to fraction form
    267,712.60/369,436.45 = 152,983.95/x
  3. Step 3: Cross multiply
    267,712.60x = 369,436.45 × 152,983.95
  4. Step 4: Simplify right side
    267,712.60x = 56,517,845,913.98
  5. Step 5: Solve for x
    x = 56,517,845,913.98/267,712.60
  6. Step 6: Final answer
    x = 211,113.88

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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.