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Finding the Fourth Proportional to 202,302.72, 302,936.64 and 196,316.31

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Solution

The fourth proportional to 202,302.72, 302,936.64 and 196,316.31 is: 293,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,302.72 : 302,936.64 = 196,316.31 : x
  2. Step 2: Convert to fraction form
    202,302.72/302,936.64 = 196,316.31/x
  3. Step 3: Cross multiply
    202,302.72x = 302,936.64 × 196,316.31
  4. Step 4: Simplify right side
    202,302.72x = 59,471,403,328.60
  5. Step 5: Solve for x
    x = 59,471,403,328.60/202,302.72
  6. Step 6: Final answer
    x = 293,972.34

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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.