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Finding the Fourth Proportional to 262,855.78, 362,740.62 and 149,678.53

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Solution

The fourth proportional to 262,855.78, 362,740.62 and 149,678.53 is: 206,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,855.78 : 362,740.62 = 149,678.53 : x
  2. Step 2: Convert to fraction form
    262,855.78/362,740.62 = 149,678.53/x
  3. Step 3: Cross multiply
    262,855.78x = 362,740.62 × 149,678.53
  4. Step 4: Simplify right side
    262,855.78x = 54,294,482,772.89
  5. Step 5: Solve for x
    x = 54,294,482,772.89/262,855.78
  6. Step 6: Final answer
    x = 206,556.17

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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.