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Finding the Fourth Proportional to 133,726.41, 200,454.66 and 83,841.57

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Solution

The fourth proportional to 133,726.41, 200,454.66 and 83,841.57 is: 125,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,726.41 : 200,454.66 = 83,841.57 : x
  2. Step 2: Convert to fraction form
    133,726.41/200,454.66 = 83,841.57/x
  3. Step 3: Cross multiply
    133,726.41x = 200,454.66 × 83,841.57
  4. Step 4: Simplify right side
    133,726.41x = 16,806,433,408.22
  5. Step 5: Solve for x
    x = 16,806,433,408.22/133,726.41
  6. Step 6: Final answer
    x = 125,677.74

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