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Finding the Fourth Proportional to 194,682.29, 292,021.59 and 61,562.57

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Solution

The fourth proportional to 194,682.29, 292,021.59 and 61,562.57 is: 92,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,682.29 : 292,021.59 = 61,562.57 : x
  2. Step 2: Convert to fraction form
    194,682.29/292,021.59 = 61,562.57/x
  3. Step 3: Cross multiply
    194,682.29x = 292,021.59 × 61,562.57
  4. Step 4: Simplify right side
    194,682.29x = 17,977,599,575.89
  5. Step 5: Solve for x
    x = 17,977,599,575.89/194,682.29
  6. Step 6: Final answer
    x = 92,343.27

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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.