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Finding the Fourth Proportional to 278,224.73, 383,950.80 and 150,900.33

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Solution

The fourth proportional to 278,224.73, 383,950.80 and 150,900.33 is: 208,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,224.73 : 383,950.80 = 150,900.33 : x
  2. Step 2: Convert to fraction form
    278,224.73/383,950.80 = 150,900.33/x
  3. Step 3: Cross multiply
    278,224.73x = 383,950.80 × 150,900.33
  4. Step 4: Simplify right side
    278,224.73x = 57,938,302,423.76
  5. Step 5: Solve for x
    x = 57,938,302,423.76/278,224.73
  6. Step 6: Final answer
    x = 208,242.82

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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.