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Finding the Fourth Proportional to 141,680.08, 195,511.49 and 78,005.98

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Solution

The fourth proportional to 141,680.08, 195,511.49 and 78,005.98 is: 107,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,680.08 : 195,511.49 = 78,005.98 : x
  2. Step 2: Convert to fraction form
    141,680.08/195,511.49 = 78,005.98/x
  3. Step 3: Cross multiply
    141,680.08x = 195,511.49 × 78,005.98
  4. Step 4: Simplify right side
    141,680.08x = 15,251,065,378.71
  5. Step 5: Solve for x
    x = 15,251,065,378.71/141,680.08
  6. Step 6: Final answer
    x = 107,644.39

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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.