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Finding the Fourth Proportional to 230,202.40, 345,323.86 and 70,314.44

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Solution

The fourth proportional to 230,202.40, 345,323.86 and 70,314.44 is: 105,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,202.40 : 345,323.86 = 70,314.44 : x
  2. Step 2: Convert to fraction form
    230,202.40/345,323.86 = 70,314.44/x
  3. Step 3: Cross multiply
    230,202.40x = 345,323.86 × 70,314.44
  4. Step 4: Simplify right side
    230,202.40x = 24,281,253,834.54
  5. Step 5: Solve for x
    x = 24,281,253,834.54/230,202.40
  6. Step 6: Final answer
    x = 105,477.85

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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.