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Finding the Fourth Proportional to 175,678.45, 263,406.95 and 149,033.78

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Solution

The fourth proportional to 175,678.45, 263,406.95 and 149,033.78 is: 223,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,678.45 : 263,406.95 = 149,033.78 : x
  2. Step 2: Convert to fraction form
    175,678.45/263,406.95 = 149,033.78/x
  3. Step 3: Cross multiply
    175,678.45x = 263,406.95 × 149,033.78
  4. Step 4: Simplify right side
    175,678.45x = 39,256,534,500.37
  5. Step 5: Solve for x
    x = 39,256,534,500.37/175,678.45
  6. Step 6: Final answer
    x = 223,456.75

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1.5x scale

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.