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Finding the Fourth Proportional to 230,334.42, 317,848.62 and 126,965.26

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Solution

The fourth proportional to 230,334.42, 317,848.62 and 126,965.26 is: 175,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,334.42 : 317,848.62 = 126,965.26 : x
  2. Step 2: Convert to fraction form
    230,334.42/317,848.62 = 126,965.26/x
  3. Step 3: Cross multiply
    230,334.42x = 317,848.62 × 126,965.26
  4. Step 4: Simplify right side
    230,334.42x = 40,355,732,678.94
  5. Step 5: Solve for x
    x = 40,355,732,678.94/230,334.42
  6. Step 6: Final answer
    x = 175,204.96

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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.