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Finding the Fourth Proportional to 194,267.95, 291,568.01 and 76,022.33

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Solution

The fourth proportional to 194,267.95, 291,568.01 and 76,022.33 is: 114,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,267.95 : 291,568.01 = 76,022.33 : x
  2. Step 2: Convert to fraction form
    194,267.95/291,568.01 = 76,022.33/x
  3. Step 3: Cross multiply
    194,267.95x = 291,568.01 × 76,022.33
  4. Step 4: Simplify right side
    194,267.95x = 22,165,679,275.78
  5. Step 5: Solve for x
    x = 22,165,679,275.78/194,267.95
  6. Step 6: Final answer
    x = 114,098.49

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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.