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Finding the Fourth Proportional to 202,992.78, 304,444.75 and 68,075.84

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Solution

The fourth proportional to 202,992.78, 304,444.75 and 68,075.84 is: 102,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,992.78 : 304,444.75 = 68,075.84 : x
  2. Step 2: Convert to fraction form
    202,992.78/304,444.75 = 68,075.84/x
  3. Step 3: Cross multiply
    202,992.78x = 304,444.75 × 68,075.84
  4. Step 4: Simplify right side
    202,992.78x = 20,725,332,999.87
  5. Step 5: Solve for x
    x = 20,725,332,999.87/202,992.78
  6. Step 6: Final answer
    x = 102,098.87

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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.