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Finding the Fourth Proportional to 208,695.66, 313,056.52 and 58,947.46

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Solution

The fourth proportional to 208,695.66, 313,056.52 and 58,947.46 is: 88,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,695.66 : 313,056.52 = 58,947.46 : x
  2. Step 2: Convert to fraction form
    208,695.66/313,056.52 = 58,947.46/x
  3. Step 3: Cross multiply
    208,695.66x = 313,056.52 × 58,947.46
  4. Step 4: Simplify right side
    208,695.66x = 18,453,886,690.44
  5. Step 5: Solve for x
    x = 18,453,886,690.44/208,695.66
  6. Step 6: Final answer
    x = 88,424.87

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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.