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Finding the Fourth Proportional to 119,367.68, 178,947.84 and 70,016

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Solution

The fourth proportional to 119,367.68, 178,947.84 and 70,016 is: 104,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,367.68 : 178,947.84 = 70,016 : x
  2. Step 2: Convert to fraction form
    119,367.68/178,947.84 = 70,016/x
  3. Step 3: Cross multiply
    119,367.68x = 178,947.84 × 70,016
  4. Step 4: Simplify right side
    119,367.68x = 12,529,211,965.44
  5. Step 5: Solve for x
    x = 12,529,211,965.44/119,367.68
  6. Step 6: Final answer
    x = 104,963.19

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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.