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Finding the Fourth Proportional to 278,118.87, 383,800.59 and 150,794.16

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Solution

The fourth proportional to 278,118.87, 383,800.59 and 150,794.16 is: 208,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,118.87 : 383,800.59 = 150,794.16 : x
  2. Step 2: Convert to fraction form
    278,118.87/383,800.59 = 150,794.16/x
  3. Step 3: Cross multiply
    278,118.87x = 383,800.59 × 150,794.16
  4. Step 4: Simplify right side
    278,118.87x = 57,874,887,576.55
  5. Step 5: Solve for x
    x = 57,874,887,576.55/278,118.87
  6. Step 6: Final answer
    x = 208,094.07

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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.