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Finding the Fourth Proportional to 291,341.89, 402,059.33 and 164,022.04

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Solution

The fourth proportional to 291,341.89, 402,059.33 and 164,022.04 is: 226,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,341.89 : 402,059.33 = 164,022.04 : x
  2. Step 2: Convert to fraction form
    291,341.89/402,059.33 = 164,022.04/x
  3. Step 3: Cross multiply
    291,341.89x = 402,059.33 × 164,022.04
  4. Step 4: Simplify right side
    291,341.89x = 65,946,591,507.63
  5. Step 5: Solve for x
    x = 65,946,591,507.63/291,341.89
  6. Step 6: Final answer
    x = 226,354.65

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