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Finding the Fourth Proportional to 157,447.70, 236,147.20 and 57,584.54

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Solution

The fourth proportional to 157,447.70, 236,147.20 and 57,584.54 is: 86,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,447.70 : 236,147.20 = 57,584.54 : x
  2. Step 2: Convert to fraction form
    157,447.70/236,147.20 = 57,584.54/x
  3. Step 3: Cross multiply
    157,447.70x = 236,147.20 × 57,584.54
  4. Step 4: Simplify right side
    157,447.70x = 13,598,426,559.59
  5. Step 5: Solve for x
    x = 13,598,426,559.59/157,447.70
  6. Step 6: Final answer
    x = 86,367.90

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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.