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Finding the Fourth Proportional to 195,507, 269,799.66 and 106,083

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Solution

The fourth proportional to 195,507, 269,799.66 and 106,083 is: 146,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,507 : 269,799.66 = 106,083 : x
  2. Step 2: Convert to fraction form
    195,507/269,799.66 = 106,083/x
  3. Step 3: Cross multiply
    195,507x = 269,799.66 × 106,083
  4. Step 4: Simplify right side
    195,507x = 28,621,157,331.78
  5. Step 5: Solve for x
    x = 28,621,157,331.78/195,507
  6. Step 6: Final answer
    x = 146,394.54

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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.