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Finding the Fourth Proportional to 256,391.67, 353,819.11 and 141,678.21

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Solution

The fourth proportional to 256,391.67, 353,819.11 and 141,678.21 is: 195,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,391.67 : 353,819.11 = 141,678.21 : x
  2. Step 2: Convert to fraction form
    256,391.67/353,819.11 = 141,678.21/x
  3. Step 3: Cross multiply
    256,391.67x = 353,819.11 × 141,678.21
  4. Step 4: Simplify right side
    256,391.67x = 50,128,458,168.59
  5. Step 5: Solve for x
    x = 50,128,458,168.59/256,391.67
  6. Step 6: Final answer
    x = 195,515.16

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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.