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Finding the Fourth Proportional to 274,995.70, 412,821.60 and 155,148.10

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Solution

The fourth proportional to 274,995.70, 412,821.60 and 155,148.10 is: 232,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,995.70 : 412,821.60 = 155,148.10 : x
  2. Step 2: Convert to fraction form
    274,995.70/412,821.60 = 155,148.10/x
  3. Step 3: Cross multiply
    274,995.70x = 412,821.60 × 155,148.10
  4. Step 4: Simplify right side
    274,995.70x = 64,048,486,878.96
  5. Step 5: Solve for x
    x = 64,048,486,878.96/274,995.70
  6. Step 6: Final answer
    x = 232,907.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.