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Finding the Fourth Proportional to 261,632.85, 361,048.71 and 146,912.38

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Solution

The fourth proportional to 261,632.85, 361,048.71 and 146,912.38 is: 202,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,632.85 : 361,048.71 = 146,912.38 : x
  2. Step 2: Convert to fraction form
    261,632.85/361,048.71 = 146,912.38/x
  3. Step 3: Cross multiply
    261,632.85x = 361,048.71 × 146,912.38
  4. Step 4: Simplify right side
    261,632.85x = 53,042,525,282.03
  5. Step 5: Solve for x
    x = 53,042,525,282.03/261,632.85
  6. Step 6: Final answer
    x = 202,736.49

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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.