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Finding the Fourth Proportional to 291,346.88, 402,054.24 and 164,022.08

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Solution

The fourth proportional to 291,346.88, 402,054.24 and 164,022.08 is: 226,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,346.88 : 402,054.24 = 164,022.08 : x
  2. Step 2: Convert to fraction form
    291,346.88/402,054.24 = 164,022.08/x
  3. Step 3: Cross multiply
    291,346.88x = 402,054.24 × 164,022.08
  4. Step 4: Simplify right side
    291,346.88x = 65,945,772,717.62
  5. Step 5: Solve for x
    x = 65,945,772,717.62/291,346.88
  6. Step 6: Final answer
    x = 226,347.96

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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.