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Finding the Fourth Proportional to 338,439.56, 507,723.42 and 136,051.34

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Solution

The fourth proportional to 338,439.56, 507,723.42 and 136,051.34 is: 204,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,439.56 : 507,723.42 = 136,051.34 : x
  2. Step 2: Convert to fraction form
    338,439.56/507,723.42 = 136,051.34/x
  3. Step 3: Cross multiply
    338,439.56x = 507,723.42 × 136,051.34
  4. Step 4: Simplify right side
    338,439.56x = 69,076,451,640.38
  5. Step 5: Solve for x
    x = 69,076,451,640.38/338,439.56
  6. Step 6: Final answer
    x = 204,102.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.