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Finding the Fourth Proportional to 292,475.94, 403,625.07 and 165,170.67

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Solution

The fourth proportional to 292,475.94, 403,625.07 and 165,170.67 is: 227,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,475.94 : 403,625.07 = 165,170.67 : x
  2. Step 2: Convert to fraction form
    292,475.94/403,625.07 = 165,170.67/x
  3. Step 3: Cross multiply
    292,475.94x = 403,625.07 × 165,170.67
  4. Step 4: Simplify right side
    292,475.94x = 66,667,023,103.29
  5. Step 5: Solve for x
    x = 66,667,023,103.29/292,475.94
  6. Step 6: Final answer
    x = 227,940.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.