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Finding the Fourth Proportional to 258,383.39, 356,567.47 and 145,206.14

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Solution

The fourth proportional to 258,383.39, 356,567.47 and 145,206.14 is: 200,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,383.39 : 356,567.47 = 145,206.14 : x
  2. Step 2: Convert to fraction form
    258,383.39/356,567.47 = 145,206.14/x
  3. Step 3: Cross multiply
    258,383.39x = 356,567.47 × 145,206.14
  4. Step 4: Simplify right side
    258,383.39x = 51,775,783,822.41
  5. Step 5: Solve for x
    x = 51,775,783,822.41/258,383.39
  6. Step 6: Final answer
    x = 200,383.56

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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.