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Finding the Fourth Proportional to 342,936.64, 514,217.04 and 106,213.60

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Solution

The fourth proportional to 342,936.64, 514,217.04 and 106,213.60 is: 159,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,936.64 : 514,217.04 = 106,213.60 : x
  2. Step 2: Convert to fraction form
    342,936.64/514,217.04 = 106,213.60/x
  3. Step 3: Cross multiply
    342,936.64x = 514,217.04 × 106,213.60
  4. Step 4: Simplify right side
    342,936.64x = 54,616,842,999.74
  5. Step 5: Solve for x
    x = 54,616,842,999.74/342,936.64
  6. Step 6: Final answer
    x = 159,262.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.