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Finding the Fourth Proportional to 230,109.27, 317,474.67 and 134,548.32

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Solution

The fourth proportional to 230,109.27, 317,474.67 and 134,548.32 is: 185,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,109.27 : 317,474.67 = 134,548.32 : x
  2. Step 2: Convert to fraction form
    230,109.27/317,474.67 = 134,548.32/x
  3. Step 3: Cross multiply
    230,109.27x = 317,474.67 × 134,548.32
  4. Step 4: Simplify right side
    230,109.27x = 42,715,683,491.05
  5. Step 5: Solve for x
    x = 42,715,683,491.05/230,109.27
  6. Step 6: Final answer
    x = 185,632.17

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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.