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Finding the Fourth Proportional to 241,983.04, 362,974.56 and 75,784

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Solution

The fourth proportional to 241,983.04, 362,974.56 and 75,784 is: 113,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,983.04 : 362,974.56 = 75,784 : x
  2. Step 2: Convert to fraction form
    241,983.04/362,974.56 = 75,784/x
  3. Step 3: Cross multiply
    241,983.04x = 362,974.56 × 75,784
  4. Step 4: Simplify right side
    241,983.04x = 27,507,664,055.04
  5. Step 5: Solve for x
    x = 27,507,664,055.04/241,983.04
  6. Step 6: Final answer
    x = 113,676

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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.