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Finding the Fourth Proportional to 137,314.84, 205,897.17 and 109,033.46

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Solution

The fourth proportional to 137,314.84, 205,897.17 and 109,033.46 is: 163,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,314.84 : 205,897.17 = 109,033.46 : x
  2. Step 2: Convert to fraction form
    137,314.84/205,897.17 = 109,033.46/x
  3. Step 3: Cross multiply
    137,314.84x = 205,897.17 × 109,033.46
  4. Step 4: Simplify right side
    137,314.84x = 22,449,680,747.09
  5. Step 5: Solve for x
    x = 22,449,680,747.09/137,314.84
  6. Step 6: Final answer
    x = 163,490.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.