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Finding the Fourth Proportional to 291,951.96, 402,893.10 and 164,626.80

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Solution

The fourth proportional to 291,951.96, 402,893.10 and 164,626.80 is: 227,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,951.96 : 402,893.10 = 164,626.80 : x
  2. Step 2: Convert to fraction form
    291,951.96/402,893.10 = 164,626.80/x
  3. Step 3: Cross multiply
    291,951.96x = 402,893.10 × 164,626.80
  4. Step 4: Simplify right side
    291,951.96x = 66,327,001,795.08
  5. Step 5: Solve for x
    x = 66,327,001,795.08/291,951.96
  6. Step 6: Final answer
    x = 227,184.64

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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.