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Finding the Fourth Proportional to 291,954.99, 402,911.69 and 164,627.85

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Solution

The fourth proportional to 291,954.99, 402,911.69 and 164,627.85 is: 227,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,954.99 : 402,911.69 = 164,627.85 : x
  2. Step 2: Convert to fraction form
    291,954.99/402,911.69 = 164,627.85/x
  3. Step 3: Cross multiply
    291,954.99x = 402,911.69 × 164,627.85
  4. Step 4: Simplify right side
    291,954.99x = 66,330,485,264.57
  5. Step 5: Solve for x
    x = 66,330,485,264.57/291,954.99
  6. Step 6: Final answer
    x = 227,194.22

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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.