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Finding the Fourth Proportional to 229,892.68, 317,147.70 and 166,129.48

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Solution

The fourth proportional to 229,892.68, 317,147.70 and 166,129.48 is: 229,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,892.68 : 317,147.70 = 166,129.48 : x
  2. Step 2: Convert to fraction form
    229,892.68/317,147.70 = 166,129.48/x
  3. Step 3: Cross multiply
    229,892.68x = 317,147.70 × 166,129.48
  4. Step 4: Simplify right side
    229,892.68x = 52,687,582,484.20
  5. Step 5: Solve for x
    x = 52,687,582,484.20/229,892.68
  6. Step 6: Final answer
    x = 229,183.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.