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Finding the Fourth Proportional to 202,658.85, 303,994.40 and 69,537.17

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Solution

The fourth proportional to 202,658.85, 303,994.40 and 69,537.17 is: 104,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,658.85 : 303,994.40 = 69,537.17 : x
  2. Step 2: Convert to fraction form
    202,658.85/303,994.40 = 69,537.17/x
  3. Step 3: Cross multiply
    202,658.85x = 303,994.40 × 69,537.17
  4. Step 4: Simplify right side
    202,658.85x = 21,138,910,271.85
  5. Step 5: Solve for x
    x = 21,138,910,271.85/202,658.85
  6. Step 6: Final answer
    x = 104,307.86

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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.