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Finding the Fourth Proportional to 194,705.94, 291,947.12 and 76,238.58

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Solution

The fourth proportional to 194,705.94, 291,947.12 and 76,238.58 is: 114,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,705.94 : 291,947.12 = 76,238.58 : x
  2. Step 2: Convert to fraction form
    194,705.94/291,947.12 = 76,238.58/x
  3. Step 3: Cross multiply
    194,705.94x = 291,947.12 × 76,238.58
  4. Step 4: Simplify right side
    194,705.94x = 22,257,633,863.89
  5. Step 5: Solve for x
    x = 22,257,633,863.89/194,705.94
  6. Step 6: Final answer
    x = 114,314.10

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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.