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Finding the Fourth Proportional to 130,672.64, 195,853.44 and 75,152

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Solution

The fourth proportional to 130,672.64, 195,853.44 and 75,152 is: 112,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,672.64 : 195,853.44 = 75,152 : x
  2. Step 2: Convert to fraction form
    130,672.64/195,853.44 = 75,152/x
  3. Step 3: Cross multiply
    130,672.64x = 195,853.44 × 75,152
  4. Step 4: Simplify right side
    130,672.64x = 14,718,777,722.88
  5. Step 5: Solve for x
    x = 14,718,777,722.88/130,672.64
  6. Step 6: Final answer
    x = 112,638.56

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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.