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Finding the Fourth Proportional to 227,274, 340,960.21 and 87,032.63

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Solution

The fourth proportional to 227,274, 340,960.21 and 87,032.63 is: 130,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,274 : 340,960.21 = 87,032.63 : x
  2. Step 2: Convert to fraction form
    227,274/340,960.21 = 87,032.63/x
  3. Step 3: Cross multiply
    227,274x = 340,960.21 × 87,032.63
  4. Step 4: Simplify right side
    227,274x = 29,674,663,801.65
  5. Step 5: Solve for x
    x = 29,674,663,801.65/227,274
  6. Step 6: Final answer
    x = 130,567.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.