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Finding the Fourth Proportional to 157,447.89, 236,217.84 and 50,829.34

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Solution

The fourth proportional to 157,447.89, 236,217.84 and 50,829.34 is: 76,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,447.89 : 236,217.84 = 50,829.34 : x
  2. Step 2: Convert to fraction form
    157,447.89/236,217.84 = 50,829.34/x
  3. Step 3: Cross multiply
    157,447.89x = 236,217.84 × 50,829.34
  4. Step 4: Simplify right side
    157,447.89x = 12,006,796,903.43
  5. Step 5: Solve for x
    x = 12,006,796,903.43/157,447.89
  6. Step 6: Final answer
    x = 76,258.86

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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.