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Finding the Fourth Proportional to 184,284, 254,324.64 and 103,719.12

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Solution

The fourth proportional to 184,284, 254,324.64 and 103,719.12 is: 143,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,284 : 254,324.64 = 103,719.12 : x
  2. Step 2: Convert to fraction form
    184,284/254,324.64 = 103,719.12/x
  3. Step 3: Cross multiply
    184,284x = 254,324.64 × 103,719.12
  4. Step 4: Simplify right side
    184,284x = 26,378,327,855.12
  5. Step 5: Solve for x
    x = 26,378,327,855.12/184,284
  6. Step 6: Final answer
    x = 143,139.54

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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.