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Finding the Fourth Proportional to 278,064.79, 383,728.52 and 150,740.38

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Solution

The fourth proportional to 278,064.79, 383,728.52 and 150,740.38 is: 208,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,064.79 : 383,728.52 = 150,740.38 : x
  2. Step 2: Convert to fraction form
    278,064.79/383,728.52 = 150,740.38/x
  3. Step 3: Cross multiply
    278,064.79x = 383,728.52 × 150,740.38
  4. Step 4: Simplify right side
    278,064.79x = 57,843,382,921.64
  5. Step 5: Solve for x
    x = 57,843,382,921.64/278,064.79
  6. Step 6: Final answer
    x = 208,021.24

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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.