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Finding the Fourth Proportional to 181,013.87, 271,564.67 and 54,646.56

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Solution

The fourth proportional to 181,013.87, 271,564.67 and 54,646.56 is: 81,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,013.87 : 271,564.67 = 54,646.56 : x
  2. Step 2: Convert to fraction form
    181,013.87/271,564.67 = 54,646.56/x
  3. Step 3: Cross multiply
    181,013.87x = 271,564.67 × 54,646.56
  4. Step 4: Simplify right side
    181,013.87x = 14,840,075,033.04
  5. Step 5: Solve for x
    x = 14,840,075,033.04/181,013.87
  6. Step 6: Final answer
    x = 81,983.08

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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.