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Finding the Fourth Proportional to 157,845, 236,808.54 and 47,037

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Solution

The fourth proportional to 157,845, 236,808.54 and 47,037 is: 70,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,845 : 236,808.54 = 47,037 : x
  2. Step 2: Convert to fraction form
    157,845/236,808.54 = 47,037/x
  3. Step 3: Cross multiply
    157,845x = 236,808.54 × 47,037
  4. Step 4: Simplify right side
    157,845x = 11,138,763,295.98
  5. Step 5: Solve for x
    x = 11,138,763,295.98/157,845
  6. Step 6: Final answer
    x = 70,567.73

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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.