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Finding the Fourth Proportional to 163,202.90, 225,162.26 and 106,647.08

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Solution

The fourth proportional to 163,202.90, 225,162.26 and 106,647.08 is: 147,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,202.90 : 225,162.26 = 106,647.08 : x
  2. Step 2: Convert to fraction form
    163,202.90/225,162.26 = 106,647.08/x
  3. Step 3: Cross multiply
    163,202.90x = 225,162.26 × 106,647.08
  4. Step 4: Simplify right side
    163,202.90x = 24,012,895,896.15
  5. Step 5: Solve for x
    x = 24,012,895,896.15/163,202.90
  6. Step 6: Final answer
    x = 147,135.23

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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.