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Finding the Fourth Proportional to 261,522.88, 392,245.44 and 95,272

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Solution

The fourth proportional to 261,522.88, 392,245.44 and 95,272 is: 142,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,522.88 : 392,245.44 = 95,272 : x
  2. Step 2: Convert to fraction form
    261,522.88/392,245.44 = 95,272/x
  3. Step 3: Cross multiply
    261,522.88x = 392,245.44 × 95,272
  4. Step 4: Simplify right side
    261,522.88x = 37,370,007,559.68
  5. Step 5: Solve for x
    x = 37,370,007,559.68/261,522.88
  6. Step 6: Final answer
    x = 142,893.84

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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.