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Finding the Fourth Proportional to 278,224.48, 383,950.46 and 150,900.08

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Solution

The fourth proportional to 278,224.48, 383,950.46 and 150,900.08 is: 208,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,224.48 : 383,950.46 = 150,900.08 : x
  2. Step 2: Convert to fraction form
    278,224.48/383,950.46 = 150,900.08/x
  3. Step 3: Cross multiply
    278,224.48x = 383,950.46 × 150,900.08
  4. Step 4: Simplify right side
    278,224.48x = 57,938,154,375.54
  5. Step 5: Solve for x
    x = 57,938,154,375.54/278,224.48
  6. Step 6: Final answer
    x = 208,242.48

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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.