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Finding the Fourth Proportional to 157,321.80, 235,982.70 and 146,824.20

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Solution

The fourth proportional to 157,321.80, 235,982.70 and 146,824.20 is: 220,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,321.80 : 235,982.70 = 146,824.20 : x
  2. Step 2: Convert to fraction form
    157,321.80/235,982.70 = 146,824.20/x
  3. Step 3: Cross multiply
    157,321.80x = 235,982.70 × 146,824.20
  4. Step 4: Simplify right side
    157,321.80x = 34,647,971,141.34
  5. Step 5: Solve for x
    x = 34,647,971,141.34/157,321.80
  6. Step 6: Final answer
    x = 220,236.30

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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.