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Finding the Fourth Proportional to 194,299.31, 291,447.35 and 54,057.53

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Solution

The fourth proportional to 194,299.31, 291,447.35 and 54,057.53 is: 81,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,299.31 : 291,447.35 = 54,057.53 : x
  2. Step 2: Convert to fraction form
    194,299.31/291,447.35 = 54,057.53/x
  3. Step 3: Cross multiply
    194,299.31x = 291,447.35 × 54,057.53
  4. Step 4: Simplify right side
    194,299.31x = 15,754,923,595.76
  5. Step 5: Solve for x
    x = 15,754,923,595.76/194,299.31
  6. Step 6: Final answer
    x = 81,085.84

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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.