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Finding the Fourth Proportional to 234,941, 324,096.06 and 144,317.38

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Solution

The fourth proportional to 234,941, 324,096.06 and 144,317.38 is: 199,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,941 : 324,096.06 = 144,317.38 : x
  2. Step 2: Convert to fraction form
    234,941/324,096.06 = 144,317.38/x
  3. Step 3: Cross multiply
    234,941x = 324,096.06 × 144,317.38
  4. Step 4: Simplify right side
    234,941x = 46,772,694,247.52
  5. Step 5: Solve for x
    x = 46,772,694,247.52/234,941
  6. Step 6: Final answer
    x = 199,082.72

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1.5x scale

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.