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Finding the Fourth Proportional to 230,321.46, 317,830.50 and 126,935.14

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Solution

The fourth proportional to 230,321.46, 317,830.50 and 126,935.14 is: 175,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,321.46 : 317,830.50 = 126,935.14 : x
  2. Step 2: Convert to fraction form
    230,321.46/317,830.50 = 126,935.14/x
  3. Step 3: Cross multiply
    230,321.46x = 317,830.50 × 126,935.14
  4. Step 4: Simplify right side
    230,321.46x = 40,343,859,013.77
  5. Step 5: Solve for x
    x = 40,343,859,013.77/230,321.46
  6. Step 6: Final answer
    x = 175,163.27

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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.