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Finding the Fourth Proportional to 230,048, 317,354.94 and 148,354.67

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Solution

The fourth proportional to 230,048, 317,354.94 and 148,354.67 is: 204,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,048 : 317,354.94 = 148,354.67 : x
  2. Step 2: Convert to fraction form
    230,048/317,354.94 = 148,354.67/x
  3. Step 3: Cross multiply
    230,048x = 317,354.94 × 148,354.67
  4. Step 4: Simplify right side
    230,048x = 47,081,087,396.57
  5. Step 5: Solve for x
    x = 47,081,087,396.57/230,048
  6. Step 6: Final answer
    x = 204,657.67

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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.