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Finding the Fourth Proportional to 194,477.94, 291,766.11 and 54,236.56

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Solution

The fourth proportional to 194,477.94, 291,766.11 and 54,236.56 is: 81,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,477.94 : 291,766.11 = 54,236.56 : x
  2. Step 2: Convert to fraction form
    194,477.94/291,766.11 = 54,236.56/x
  3. Step 3: Cross multiply
    194,477.94x = 291,766.11 × 54,236.56
  4. Step 4: Simplify right side
    194,477.94x = 15,824,390,130.98
  5. Step 5: Solve for x
    x = 15,824,390,130.98/194,477.94
  6. Step 6: Final answer
    x = 81,368.56

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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.