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Finding the Fourth Proportional to 200,768.46, 300,751.16 and 120,762.24

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Solution

The fourth proportional to 200,768.46, 300,751.16 and 120,762.24 is: 180,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.46 : 300,751.16 = 120,762.24 : x
  2. Step 2: Convert to fraction form
    200,768.46/300,751.16 = 120,762.24/x
  3. Step 3: Cross multiply
    200,768.46x = 300,751.16 × 120,762.24
  4. Step 4: Simplify right side
    200,768.46x = 36,319,383,160.39
  5. Step 5: Solve for x
    x = 36,319,383,160.39/200,768.46
  6. Step 6: Final answer
    x = 180,901.84

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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.