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Finding the Fourth Proportional to 256,159.88, 353,500.83 and 142,982.63

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Solution

The fourth proportional to 256,159.88, 353,500.83 and 142,982.63 is: 197,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,159.88 : 353,500.83 = 142,982.63 : x
  2. Step 2: Convert to fraction form
    256,159.88/353,500.83 = 142,982.63/x
  3. Step 3: Cross multiply
    256,159.88x = 353,500.83 × 142,982.63
  4. Step 4: Simplify right side
    256,159.88x = 50,544,476,613.08
  5. Step 5: Solve for x
    x = 50,544,476,613.08/256,159.88
  6. Step 6: Final answer
    x = 197,316.14

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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.