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Finding the Fourth Proportional to 95,174.84, 142,968.26 and 61,877.78

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Solution

The fourth proportional to 95,174.84, 142,968.26 and 61,877.78 is: 92,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,174.84 : 142,968.26 = 61,877.78 : x
  2. Step 2: Convert to fraction form
    95,174.84/142,968.26 = 61,877.78/x
  3. Step 3: Cross multiply
    95,174.84x = 142,968.26 × 61,877.78
  4. Step 4: Simplify right side
    95,174.84x = 8,846,558,539.26
  5. Step 5: Solve for x
    x = 8,846,558,539.26/95,174.84
  6. Step 6: Final answer
    x = 92,950.60

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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.