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Finding the Fourth Proportional to 177,114.60, 265,704.30 and 71,944.20

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Solution

The fourth proportional to 177,114.60, 265,704.30 and 71,944.20 is: 107,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,114.60 : 265,704.30 = 71,944.20 : x
  2. Step 2: Convert to fraction form
    177,114.60/265,704.30 = 71,944.20/x
  3. Step 3: Cross multiply
    177,114.60x = 265,704.30 × 71,944.20
  4. Step 4: Simplify right side
    177,114.60x = 19,115,883,300.06
  5. Step 5: Solve for x
    x = 19,115,883,300.06/177,114.60
  6. Step 6: Final answer
    x = 107,929.46

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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.