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Finding the Fourth Proportional to 194,689.50, 292,065.84 and 76,296.66

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Solution

The fourth proportional to 194,689.50, 292,065.84 and 76,296.66 is: 114,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,689.50 : 292,065.84 = 76,296.66 : x
  2. Step 2: Convert to fraction form
    194,689.50/292,065.84 = 76,296.66/x
  3. Step 3: Cross multiply
    194,689.50x = 292,065.84 × 76,296.66
  4. Step 4: Simplify right side
    194,689.50x = 22,283,648,092.09
  5. Step 5: Solve for x
    x = 22,283,648,092.09/194,689.50
  6. Step 6: Final answer
    x = 114,457.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.