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Finding the Fourth Proportional to 202,995.67, 304,513.96 and 69,858.40

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Solution

The fourth proportional to 202,995.67, 304,513.96 and 69,858.40 is: 104,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,995.67 : 304,513.96 = 69,858.40 : x
  2. Step 2: Convert to fraction form
    202,995.67/304,513.96 = 69,858.40/x
  3. Step 3: Cross multiply
    202,995.67x = 304,513.96 × 69,858.40
  4. Step 4: Simplify right side
    202,995.67x = 21,272,858,023.26
  5. Step 5: Solve for x
    x = 21,272,858,023.26/202,995.67
  6. Step 6: Final answer
    x = 104,794.64

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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.