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Finding the Fourth Proportional to 229,757.42, 317,018.36 and 134,245.64

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Solution

The fourth proportional to 229,757.42, 317,018.36 and 134,245.64 is: 185,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,757.42 : 317,018.36 = 134,245.64 : x
  2. Step 2: Convert to fraction form
    229,757.42/317,018.36 = 134,245.64/x
  3. Step 3: Cross multiply
    229,757.42x = 317,018.36 × 134,245.64
  4. Step 4: Simplify right side
    229,757.42x = 42,558,330,373.63
  5. Step 5: Solve for x
    x = 42,558,330,373.63/229,757.42
  6. Step 6: Final answer
    x = 185,231.59

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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.