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Finding the Fourth Proportional to 230,097.27, 317,458.13 and 134,536.31

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Solution

The fourth proportional to 230,097.27, 317,458.13 and 134,536.31 is: 185,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,097.27 : 317,458.13 = 134,536.31 : x
  2. Step 2: Convert to fraction form
    230,097.27/317,458.13 = 134,536.31/x
  3. Step 3: Cross multiply
    230,097.27x = 317,458.13 × 134,536.31
  4. Step 4: Simplify right side
    230,097.27x = 42,709,643,129.73
  5. Step 5: Solve for x
    x = 42,709,643,129.73/230,097.27
  6. Step 6: Final answer
    x = 185,615.60

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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.