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Finding the Fourth Proportional to 258,192, 356,323.14 and 145,014.84

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Solution

The fourth proportional to 258,192, 356,323.14 and 145,014.84 is: 200,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,192 : 356,323.14 = 145,014.84 : x
  2. Step 2: Convert to fraction form
    258,192/356,323.14 = 145,014.84/x
  3. Step 3: Cross multiply
    258,192x = 356,323.14 × 145,014.84
  4. Step 4: Simplify right side
    258,192x = 51,672,143,135.40
  5. Step 5: Solve for x
    x = 51,672,143,135.40/258,192
  6. Step 6: Final answer
    x = 200,130.69

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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.