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Finding the Fourth Proportional to 157,164.95, 235,793.36 and 50,546.51

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Solution

The fourth proportional to 157,164.95, 235,793.36 and 50,546.51 is: 75,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,164.95 : 235,793.36 = 50,546.51 : x
  2. Step 2: Convert to fraction form
    157,164.95/235,793.36 = 50,546.51/x
  3. Step 3: Cross multiply
    157,164.95x = 235,793.36 × 50,546.51
  4. Step 4: Simplify right side
    157,164.95x = 11,918,531,955.47
  5. Step 5: Solve for x
    x = 11,918,531,955.47/157,164.95
  6. Step 6: Final answer
    x = 75,834.54

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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.