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Finding the Fourth Proportional to 316,512.02, 474,768.03 and 106,149.35

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Solution

The fourth proportional to 316,512.02, 474,768.03 and 106,149.35 is: 159,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,512.02 : 474,768.03 = 106,149.35 : x
  2. Step 2: Convert to fraction form
    316,512.02/474,768.03 = 106,149.35/x
  3. Step 3: Cross multiply
    316,512.02x = 474,768.03 × 106,149.35
  4. Step 4: Simplify right side
    316,512.02x = 50,396,315,411.44
  5. Step 5: Solve for x
    x = 50,396,315,411.44/316,512.02
  6. Step 6: Final answer
    x = 159,224.02

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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.