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Finding the Fourth Proportional to 131,122, 196,683.54 and 48,016

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Solution

The fourth proportional to 131,122, 196,683.54 and 48,016 is: 72,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,122 : 196,683.54 = 48,016 : x
  2. Step 2: Convert to fraction form
    131,122/196,683.54 = 48,016/x
  3. Step 3: Cross multiply
    131,122x = 196,683.54 × 48,016
  4. Step 4: Simplify right side
    131,122x = 9,443,956,856.64
  5. Step 5: Solve for x
    x = 9,443,956,856.64/131,122
  6. Step 6: Final answer
    x = 72,024.20

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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.