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Finding the Fourth Proportional to 234,757.64, 323,969.96 and 144,068.22

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Solution

The fourth proportional to 234,757.64, 323,969.96 and 144,068.22 is: 198,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,757.64 : 323,969.96 = 144,068.22 : x
  2. Step 2: Convert to fraction form
    234,757.64/323,969.96 = 144,068.22/x
  3. Step 3: Cross multiply
    234,757.64x = 323,969.96 × 144,068.22
  4. Step 4: Simplify right side
    234,757.64x = 46,673,775,830.84
  5. Step 5: Solve for x
    x = 46,673,775,830.84/234,757.64
  6. Step 6: Final answer
    x = 198,816.85

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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.