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Finding the Fourth Proportional to 300,090.22, 414,118.68 and 164,123.73

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Solution

The fourth proportional to 300,090.22, 414,118.68 and 164,123.73 is: 226,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,090.22 : 414,118.68 = 164,123.73 : x
  2. Step 2: Convert to fraction form
    300,090.22/414,118.68 = 164,123.73/x
  3. Step 3: Cross multiply
    300,090.22x = 414,118.68 × 164,123.73
  4. Step 4: Simplify right side
    300,090.22x = 67,966,701,808.81
  5. Step 5: Solve for x
    x = 67,966,701,808.81/300,090.22
  6. Step 6: Final answer
    x = 226,487.56

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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.