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Finding the Fourth Proportional to 230,105.54, 317,461.38 and 139,396.07

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Solution

The fourth proportional to 230,105.54, 317,461.38 and 139,396.07 is: 192,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,105.54 : 317,461.38 = 139,396.07 : x
  2. Step 2: Convert to fraction form
    230,105.54/317,461.38 = 139,396.07/x
  3. Step 3: Cross multiply
    230,105.54x = 317,461.38 × 139,396.07
  4. Step 4: Simplify right side
    230,105.54x = 44,252,869,019.69
  5. Step 5: Solve for x
    x = 44,252,869,019.69/230,105.54
  6. Step 6: Final answer
    x = 192,315.53

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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.