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Finding the Fourth Proportional to 230,213.46, 317,743.58 and 154,718.22

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Solution

The fourth proportional to 230,213.46, 317,743.58 and 154,718.22 is: 213,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,213.46 : 317,743.58 = 154,718.22 : x
  2. Step 2: Convert to fraction form
    230,213.46/317,743.58 = 154,718.22/x
  3. Step 3: Cross multiply
    230,213.46x = 317,743.58 × 154,718.22
  4. Step 4: Simplify right side
    230,213.46x = 49,160,721,114.03
  5. Step 5: Solve for x
    x = 49,160,721,114.03/230,213.46
  6. Step 6: Final answer
    x = 213,544.08

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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.