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Finding the Fourth Proportional to 230,216.46, 317,747.72 and 154,721.22

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Solution

The fourth proportional to 230,216.46, 317,747.72 and 154,721.22 is: 213,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,216.46 : 317,747.72 = 154,721.22 : x
  2. Step 2: Convert to fraction form
    230,216.46/317,747.72 = 154,721.22/x
  3. Step 3: Cross multiply
    230,216.46x = 317,747.72 × 154,721.22
  4. Step 4: Simplify right side
    230,216.46x = 49,162,314,890.62
  5. Step 5: Solve for x
    x = 49,162,314,890.62/230,216.46
  6. Step 6: Final answer
    x = 213,548.22

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1.5x scale

Why These Related Problems?

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