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Finding the Fourth Proportional to 230,206.20, 317,733.56 and 154,710.96

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Solution

The fourth proportional to 230,206.20, 317,733.56 and 154,710.96 is: 213,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,206.20 : 317,733.56 = 154,710.96 : x
  2. Step 2: Convert to fraction form
    230,206.20/317,733.56 = 154,710.96/x
  3. Step 3: Cross multiply
    230,206.20x = 317,733.56 × 154,710.96
  4. Step 4: Simplify right side
    230,206.20x = 49,156,864,091.82
  5. Step 5: Solve for x
    x = 49,156,864,091.82/230,206.20
  6. Step 6: Final answer
    x = 213,534.06

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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.