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Finding the Fourth Proportional to 196,717.30, 295,075.95 and 54,562.30

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Solution

The fourth proportional to 196,717.30, 295,075.95 and 54,562.30 is: 81,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,717.30 : 295,075.95 = 54,562.30 : x
  2. Step 2: Convert to fraction form
    196,717.30/295,075.95 = 54,562.30/x
  3. Step 3: Cross multiply
    196,717.30x = 295,075.95 × 54,562.30
  4. Step 4: Simplify right side
    196,717.30x = 16,100,022,506.69
  5. Step 5: Solve for x
    x = 16,100,022,506.69/196,717.30
  6. Step 6: Final answer
    x = 81,843.45

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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.