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Finding the Fourth Proportional to 197,907.67, 296,160.75 and 123,063.06

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Solution

The fourth proportional to 197,907.67, 296,160.75 and 123,063.06 is: 184,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,907.67 : 296,160.75 = 123,063.06 : x
  2. Step 2: Convert to fraction form
    197,907.67/296,160.75 = 123,063.06/x
  3. Step 3: Cross multiply
    197,907.67x = 296,160.75 × 123,063.06
  4. Step 4: Simplify right side
    197,907.67x = 36,446,448,146.90
  5. Step 5: Solve for x
    x = 36,446,448,146.90/197,907.67
  6. Step 6: Final answer
    x = 184,158.85

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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.