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Finding the Fourth Proportional to 188,203.84, 259,719.96 and 103,319.08

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Solution

The fourth proportional to 188,203.84, 259,719.96 and 103,319.08 is: 142,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,203.84 : 259,719.96 = 103,319.08 : x
  2. Step 2: Convert to fraction form
    188,203.84/259,719.96 = 103,319.08/x
  3. Step 3: Cross multiply
    188,203.84x = 259,719.96 × 103,319.08
  4. Step 4: Simplify right side
    188,203.84x = 26,834,027,324.84
  5. Step 5: Solve for x
    x = 26,834,027,324.84/188,203.84
  6. Step 6: Final answer
    x = 142,579.60

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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.