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Finding the Fourth Proportional to 291,433.86, 402,186.60 and 164,114.01

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Solution

The fourth proportional to 291,433.86, 402,186.60 and 164,114.01 is: 226,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,433.86 : 402,186.60 = 164,114.01 : x
  2. Step 2: Convert to fraction form
    291,433.86/402,186.60 = 164,114.01/x
  3. Step 3: Cross multiply
    291,433.86x = 402,186.60 × 164,114.01
  4. Step 4: Simplify right side
    291,433.86x = 66,004,455,694.27
  5. Step 5: Solve for x
    x = 66,004,455,694.27/291,433.86
  6. Step 6: Final answer
    x = 226,481.77

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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.