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Finding the Fourth Proportional to 292,112.92, 403,069.98 and 164,785.96

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Solution

The fourth proportional to 292,112.92, 403,069.98 and 164,785.96 is: 227,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,112.92 : 403,069.98 = 164,785.96 : x
  2. Step 2: Convert to fraction form
    292,112.92/403,069.98 = 164,785.96/x
  3. Step 3: Cross multiply
    292,112.92x = 403,069.98 × 164,785.96
  4. Step 4: Simplify right side
    292,112.92x = 66,420,273,601.48
  5. Step 5: Solve for x
    x = 66,420,273,601.48/292,112.92
  6. Step 6: Final answer
    x = 227,378.76

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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.