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Finding the Fourth Proportional to 300,093.98, 414,123.84 and 164,127.48

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Solution

The fourth proportional to 300,093.98, 414,123.84 and 164,127.48 is: 226,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,093.98 : 414,123.84 = 164,127.48 : x
  2. Step 2: Convert to fraction form
    300,093.98/414,123.84 = 164,127.48/x
  3. Step 3: Cross multiply
    300,093.98x = 414,123.84 × 164,127.48
  4. Step 4: Simplify right side
    300,093.98x = 67,969,102,267.12
  5. Step 5: Solve for x
    x = 67,969,102,267.12/300,093.98
  6. Step 6: Final answer
    x = 226,492.73

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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.