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Finding the Fourth Proportional to 262,422.27, 362,192.19 and 164,350.98

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Solution

The fourth proportional to 262,422.27, 362,192.19 and 164,350.98 is: 226,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,422.27 : 362,192.19 = 164,350.98 : x
  2. Step 2: Convert to fraction form
    262,422.27/362,192.19 = 164,350.98/x
  3. Step 3: Cross multiply
    262,422.27x = 362,192.19 × 164,350.98
  4. Step 4: Simplify right side
    262,422.27x = 59,526,641,374.85
  5. Step 5: Solve for x
    x = 59,526,641,374.85/262,422.27
  6. Step 6: Final answer
    x = 226,835.33

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1.5x scale

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.