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Finding the Fourth Proportional to 164,760.66, 227,394 and 104,336.82

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Solution

The fourth proportional to 164,760.66, 227,394 and 104,336.82 is: 144,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,760.66 : 227,394 = 104,336.82 : x
  2. Step 2: Convert to fraction form
    164,760.66/227,394 = 104,336.82/x
  3. Step 3: Cross multiply
    164,760.66x = 227,394 × 104,336.82
  4. Step 4: Simplify right side
    164,760.66x = 23,725,566,847.08
  5. Step 5: Solve for x
    x = 23,725,566,847.08/164,760.66
  6. Step 6: Final answer
    x = 144,000.19

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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.