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Finding the Fourth Proportional to 230,314.32, 345,668.40 and 90,171.36

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Solution

The fourth proportional to 230,314.32, 345,668.40 and 90,171.36 is: 135,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,314.32 : 345,668.40 = 90,171.36 : x
  2. Step 2: Convert to fraction form
    230,314.32/345,668.40 = 90,171.36/x
  3. Step 3: Cross multiply
    230,314.32x = 345,668.40 × 90,171.36
  4. Step 4: Simplify right side
    230,314.32x = 31,169,389,737.02
  5. Step 5: Solve for x
    x = 31,169,389,737.02/230,314.32
  6. Step 6: Final answer
    x = 135,334.14

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