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Finding the Fourth Proportional to 256,334.58, 353,734.38 and 141,611.40

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Solution

The fourth proportional to 256,334.58, 353,734.38 and 141,611.40 is: 195,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,334.58 : 353,734.38 = 141,611.40 : x
  2. Step 2: Convert to fraction form
    256,334.58/353,734.38 = 141,611.40/x
  3. Step 3: Cross multiply
    256,334.58x = 353,734.38 × 141,611.40
  4. Step 4: Simplify right side
    256,334.58x = 50,092,820,779.93
  5. Step 5: Solve for x
    x = 50,092,820,779.93/256,334.58
  6. Step 6: Final answer
    x = 195,419.68

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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.