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Finding the Fourth Proportional to 258,610.81, 356,884.70 and 143,894.31

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Solution

The fourth proportional to 258,610.81, 356,884.70 and 143,894.31 is: 198,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,610.81 : 356,884.70 = 143,894.31 : x
  2. Step 2: Convert to fraction form
    258,610.81/356,884.70 = 143,894.31/x
  3. Step 3: Cross multiply
    258,610.81x = 356,884.70 × 143,894.31
  4. Step 4: Simplify right side
    258,610.81x = 51,353,677,656.06
  5. Step 5: Solve for x
    x = 51,353,677,656.06/258,610.81
  6. Step 6: Final answer
    x = 198,575.14

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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.