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Finding the Fourth Proportional to 230,653.20, 343,686.96 and 205,500

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Solution

The fourth proportional to 230,653.20, 343,686.96 and 205,500 is: 306,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,653.20 : 343,686.96 = 205,500 : x
  2. Step 2: Convert to fraction form
    230,653.20/343,686.96 = 205,500/x
  3. Step 3: Cross multiply
    230,653.20x = 343,686.96 × 205,500
  4. Step 4: Simplify right side
    230,653.20x = 70,627,670,280
  5. Step 5: Solve for x
    x = 70,627,670,280/230,653.20
  6. Step 6: Final answer
    x = 306,207.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.