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Finding the Fourth Proportional to 184,252.09, 254,266.22 and 103,678

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Solution

The fourth proportional to 184,252.09, 254,266.22 and 103,678 is: 143,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,252.09 : 254,266.22 = 103,678 : x
  2. Step 2: Convert to fraction form
    184,252.09/254,266.22 = 103,678/x
  3. Step 3: Cross multiply
    184,252.09x = 254,266.22 × 103,678
  4. Step 4: Simplify right side
    184,252.09x = 26,361,813,157.16
  5. Step 5: Solve for x
    x = 26,361,813,157.16/184,252.09
  6. Step 6: Final answer
    x = 143,074.70

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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.