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Finding the Fourth Proportional to 235,023.62, 324,383.73 and 144,427.10

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Solution

The fourth proportional to 235,023.62, 324,383.73 and 144,427.10 is: 199,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,023.62 : 324,383.73 = 144,427.10 : x
  2. Step 2: Convert to fraction form
    235,023.62/324,383.73 = 144,427.10/x
  3. Step 3: Cross multiply
    235,023.62x = 324,383.73 × 144,427.10
  4. Step 4: Simplify right side
    235,023.62x = 46,849,801,411.08
  5. Step 5: Solve for x
    x = 46,849,801,411.08/235,023.62
  6. Step 6: Final answer
    x = 199,340.82

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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.