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Finding the Fourth Proportional to 230,211.45, 317,740.82 and 154,716.21

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Solution

The fourth proportional to 230,211.45, 317,740.82 and 154,716.21 is: 213,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,211.45 : 317,740.82 = 154,716.21 : x
  2. Step 2: Convert to fraction form
    230,211.45/317,740.82 = 154,716.21/x
  3. Step 3: Cross multiply
    230,211.45x = 317,740.82 × 154,716.21
  4. Step 4: Simplify right side
    230,211.45x = 49,159,654,659.11
  5. Step 5: Solve for x
    x = 49,159,654,659.11/230,211.45
  6. Step 6: Final answer
    x = 213,541.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.