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Finding the Fourth Proportional to 291,347.14, 402,066.57 and 164,027.29

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Solution

The fourth proportional to 291,347.14, 402,066.57 and 164,027.29 is: 226,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,347.14 : 402,066.57 = 164,027.29 : x
  2. Step 2: Convert to fraction form
    291,347.14/402,066.57 = 164,027.29/x
  3. Step 3: Cross multiply
    291,347.14x = 402,066.57 × 164,027.29
  4. Step 4: Simplify right side
    291,347.14x = 65,949,889,876.70
  5. Step 5: Solve for x
    x = 65,949,889,876.70/291,347.14
  6. Step 6: Final answer
    x = 226,361.89

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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.