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Finding the Fourth Proportional to 278,166.56, 383,866.49 and 150,840.63

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Solution

The fourth proportional to 278,166.56, 383,866.49 and 150,840.63 is: 208,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,166.56 : 383,866.49 = 150,840.63 : x
  2. Step 2: Convert to fraction form
    278,166.56/383,866.49 = 150,840.63/x
  3. Step 3: Cross multiply
    278,166.56x = 383,866.49 × 150,840.63
  4. Step 4: Simplify right side
    278,166.56x = 57,902,663,564.59
  5. Step 5: Solve for x
    x = 57,902,663,564.59/278,166.56
  6. Step 6: Final answer
    x = 208,158.25

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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.