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Finding the Fourth Proportional to 202,855.88, 304,290.76 and 69,735

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Solution

The fourth proportional to 202,855.88, 304,290.76 and 69,735 is: 104,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,855.88 : 304,290.76 = 69,735 : x
  2. Step 2: Convert to fraction form
    202,855.88/304,290.76 = 69,735/x
  3. Step 3: Cross multiply
    202,855.88x = 304,290.76 × 69,735
  4. Step 4: Simplify right side
    202,855.88x = 21,219,716,148.60
  5. Step 5: Solve for x
    x = 21,219,716,148.60/202,855.88
  6. Step 6: Final answer
    x = 104,604.89

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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.