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Finding the Fourth Proportional to 230,409, 317,964.42 and 124,425

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Solution

The fourth proportional to 230,409, 317,964.42 and 124,425 is: 171,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,409 : 317,964.42 = 124,425 : x
  2. Step 2: Convert to fraction form
    230,409/317,964.42 = 124,425/x
  3. Step 3: Cross multiply
    230,409x = 317,964.42 × 124,425
  4. Step 4: Simplify right side
    230,409x = 39,562,722,958.50
  5. Step 5: Solve for x
    x = 39,562,722,958.50/230,409
  6. Step 6: Final answer
    x = 171,706.50

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