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Finding the Fourth Proportional to 337,077.45, 465,164.12 and 184,115.74

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Solution

The fourth proportional to 337,077.45, 465,164.12 and 184,115.74 is: 254,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,077.45 : 465,164.12 = 184,115.74 : x
  2. Step 2: Convert to fraction form
    337,077.45/465,164.12 = 184,115.74/x
  3. Step 3: Cross multiply
    337,077.45x = 465,164.12 × 184,115.74
  4. Step 4: Simplify right side
    337,077.45x = 85,644,035,254.67
  5. Step 5: Solve for x
    x = 85,644,035,254.67/337,077.45
  6. Step 6: Final answer
    x = 254,078.21

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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.