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Finding the Fourth Proportional to 275,019.84, 412,530.08 and 75,341.94

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Solution

The fourth proportional to 275,019.84, 412,530.08 and 75,341.94 is: 113,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,019.84 : 412,530.08 = 75,341.94 : x
  2. Step 2: Convert to fraction form
    275,019.84/412,530.08 = 75,341.94/x
  3. Step 3: Cross multiply
    275,019.84x = 412,530.08 × 75,341.94
  4. Step 4: Simplify right side
    275,019.84x = 31,080,816,535.56
  5. Step 5: Solve for x
    x = 31,080,816,535.56/275,019.84
  6. Step 6: Final answer
    x = 113,013.00

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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.