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Finding the Fourth Proportional to 278,295.74, 384,049.08 and 150,972.24

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Solution

The fourth proportional to 278,295.74, 384,049.08 and 150,972.24 is: 208,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,295.74 : 384,049.08 = 150,972.24 : x
  2. Step 2: Convert to fraction form
    278,295.74/384,049.08 = 150,972.24/x
  3. Step 3: Cross multiply
    278,295.74x = 384,049.08 × 150,972.24
  4. Step 4: Simplify right side
    278,295.74x = 57,980,749,877.54
  5. Step 5: Solve for x
    x = 57,980,749,877.54/278,295.74
  6. Step 6: Final answer
    x = 208,342.21

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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.