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Finding the Fourth Proportional to 194,142.24, 291,218.40 and 53,900.64

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Solution

The fourth proportional to 194,142.24, 291,218.40 and 53,900.64 is: 80,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,142.24 : 291,218.40 = 53,900.64 : x
  2. Step 2: Convert to fraction form
    194,142.24/291,218.40 = 53,900.64/x
  3. Step 3: Cross multiply
    194,142.24x = 291,218.40 × 53,900.64
  4. Step 4: Simplify right side
    194,142.24x = 15,696,858,139.78
  5. Step 5: Solve for x
    x = 15,696,858,139.78/194,142.24
  6. Step 6: Final answer
    x = 80,852.36

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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.