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Finding the Fourth Proportional to 278,256.32, 383,991 and 150,930.08

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Solution

The fourth proportional to 278,256.32, 383,991 and 150,930.08 is: 208,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,256.32 : 383,991 = 150,930.08 : x
  2. Step 2: Convert to fraction form
    278,256.32/383,991 = 150,930.08/x
  3. Step 3: Cross multiply
    278,256.32x = 383,991 × 150,930.08
  4. Step 4: Simplify right side
    278,256.32x = 57,955,792,349.28
  5. Step 5: Solve for x
    x = 57,955,792,349.28/278,256.32
  6. Step 6: Final answer
    x = 208,282.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.