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Finding the Fourth Proportional to 184,226.16, 254,214 and 103,651.86

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Solution

The fourth proportional to 184,226.16, 254,214 and 103,651.86 is: 143,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,226.16 : 254,214 = 103,651.86 : x
  2. Step 2: Convert to fraction form
    184,226.16/254,214 = 103,651.86/x
  3. Step 3: Cross multiply
    184,226.16x = 254,214 × 103,651.86
  4. Step 4: Simplify right side
    184,226.16x = 26,349,753,938.04
  5. Step 5: Solve for x
    x = 26,349,753,938.04/184,226.16
  6. Step 6: Final answer
    x = 143,029.38

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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.