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Finding the Fourth Proportional to 110,511.84, 152,523.72 and 65,194.95

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Solution

The fourth proportional to 110,511.84, 152,523.72 and 65,194.95 is: 89,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,511.84 : 152,523.72 = 65,194.95 : x
  2. Step 2: Convert to fraction form
    110,511.84/152,523.72 = 65,194.95/x
  3. Step 3: Cross multiply
    110,511.84x = 152,523.72 × 65,194.95
  4. Step 4: Simplify right side
    110,511.84x = 9,943,776,299.21
  5. Step 5: Solve for x
    x = 9,943,776,299.21/110,511.84
  6. Step 6: Final answer
    x = 89,979.28

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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.