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Finding the Fourth Proportional to 202,476.81, 304,027.35 and 171,296.57

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Solution

The fourth proportional to 202,476.81, 304,027.35 and 171,296.57 is: 257,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,476.81 : 304,027.35 = 171,296.57 : x
  2. Step 2: Convert to fraction form
    202,476.81/304,027.35 = 171,296.57/x
  3. Step 3: Cross multiply
    202,476.81x = 304,027.35 × 171,296.57
  4. Step 4: Simplify right side
    202,476.81x = 52,078,842,358.90
  5. Step 5: Solve for x
    x = 52,078,842,358.90/202,476.81
  6. Step 6: Final answer
    x = 257,208.92

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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.