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Finding the Fourth Proportional to 261,392.74, 392,255.16 and 111,634.27

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Solution

The fourth proportional to 261,392.74, 392,255.16 and 111,634.27 is: 167,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,392.74 : 392,255.16 = 111,634.27 : x
  2. Step 2: Convert to fraction form
    261,392.74/392,255.16 = 111,634.27/x
  3. Step 3: Cross multiply
    261,392.74x = 392,255.16 × 111,634.27
  4. Step 4: Simplify right side
    261,392.74x = 43,789,118,440.33
  5. Step 5: Solve for x
    x = 43,789,118,440.33/261,392.74
  6. Step 6: Final answer
    x = 167,522.32

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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.