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Finding the Fourth Proportional to 200,234.28, 275,870.16 and 164,367.48

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Solution

The fourth proportional to 200,234.28, 275,870.16 and 164,367.48 is: 226,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,234.28 : 275,870.16 = 164,367.48 : x
  2. Step 2: Convert to fraction form
    200,234.28/275,870.16 = 164,367.48/x
  3. Step 3: Cross multiply
    200,234.28x = 275,870.16 × 164,367.48
  4. Step 4: Simplify right side
    200,234.28x = 45,344,083,006.40
  5. Step 5: Solve for x
    x = 45,344,083,006.40/200,234.28
  6. Step 6: Final answer
    x = 226,455.15

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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.