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Finding the Fourth Proportional to 230,292.48, 345,290.34 and 97,137.12

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Solution

The fourth proportional to 230,292.48, 345,290.34 and 97,137.12 is: 145,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,292.48 : 345,290.34 = 97,137.12 : x
  2. Step 2: Convert to fraction form
    230,292.48/345,290.34 = 97,137.12/x
  3. Step 3: Cross multiply
    230,292.48x = 345,290.34 × 97,137.12
  4. Step 4: Simplify right side
    230,292.48x = 33,540,509,191.42
  5. Step 5: Solve for x
    x = 33,540,509,191.42/230,292.48
  6. Step 6: Final answer
    x = 145,643.09

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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.