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Finding the Fourth Proportional to 130,920.96, 196,381.44 and 60,762

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Solution

The fourth proportional to 130,920.96, 196,381.44 and 60,762 is: 91,143

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,920.96 : 196,381.44 = 60,762 : x
  2. Step 2: Convert to fraction form
    130,920.96/196,381.44 = 60,762/x
  3. Step 3: Cross multiply
    130,920.96x = 196,381.44 × 60,762
  4. Step 4: Simplify right side
    130,920.96x = 11,932,529,057.28
  5. Step 5: Solve for x
    x = 11,932,529,057.28/130,920.96
  6. Step 6: Final answer
    x = 91,143

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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.