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Finding the Fourth Proportional to 256,390.67, 353,817.74 and 141,677.21

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Solution

The fourth proportional to 256,390.67, 353,817.74 and 141,677.21 is: 195,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,390.67 : 353,817.74 = 141,677.21 : x
  2. Step 2: Convert to fraction form
    256,390.67/353,817.74 = 141,677.21/x
  3. Step 3: Cross multiply
    256,390.67x = 353,817.74 × 141,677.21
  4. Step 4: Simplify right side
    256,390.67x = 50,127,907,774.23
  5. Step 5: Solve for x
    x = 50,127,907,774.23/256,390.67
  6. Step 6: Final answer
    x = 195,513.78

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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.