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Finding the Fourth Proportional to 261,984.84, 361,538.91 and 142,752.84

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Solution

The fourth proportional to 261,984.84, 361,538.91 and 142,752.84 is: 196,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,984.84 : 361,538.91 = 142,752.84 : x
  2. Step 2: Convert to fraction form
    261,984.84/361,538.91 = 142,752.84/x
  3. Step 3: Cross multiply
    261,984.84x = 361,538.91 × 142,752.84
  4. Step 4: Simplify right side
    261,984.84x = 51,610,706,173.00
  5. Step 5: Solve for x
    x = 51,610,706,173.00/261,984.84
  6. Step 6: Final answer
    x = 196,998.83

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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.