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Finding the Fourth Proportional to 278,048.70, 383,709.94 and 150,723.98

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Solution

The fourth proportional to 278,048.70, 383,709.94 and 150,723.98 is: 208,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,048.70 : 383,709.94 = 150,723.98 : x
  2. Step 2: Convert to fraction form
    278,048.70/383,709.94 = 150,723.98/x
  3. Step 3: Cross multiply
    278,048.70x = 383,709.94 × 150,723.98
  4. Step 4: Simplify right side
    278,048.70x = 57,834,289,322.36
  5. Step 5: Solve for x
    x = 57,834,289,322.36/278,048.70
  6. Step 6: Final answer
    x = 208,000.57

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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.