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Finding the Fourth Proportional to 230,244, 345,562.83 and 90,101.04

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Solution

The fourth proportional to 230,244, 345,562.83 and 90,101.04 is: 135,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,244 : 345,562.83 = 90,101.04 : x
  2. Step 2: Convert to fraction form
    230,244/345,562.83 = 90,101.04/x
  3. Step 3: Cross multiply
    230,244x = 345,562.83 × 90,101.04
  4. Step 4: Simplify right side
    230,244x = 31,135,570,368.34
  5. Step 5: Solve for x
    x = 31,135,570,368.34/230,244
  6. Step 6: Final answer
    x = 135,228.59

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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.