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Finding the Fourth Proportional to 256,136.64, 353,468.16 and 142,959.36

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Solution

The fourth proportional to 256,136.64, 353,468.16 and 142,959.36 is: 197,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,136.64 : 353,468.16 = 142,959.36 : x
  2. Step 2: Convert to fraction form
    256,136.64/353,468.16 = 142,959.36/x
  3. Step 3: Cross multiply
    256,136.64x = 353,468.16 × 142,959.36
  4. Step 4: Simplify right side
    256,136.64x = 50,531,581,933.98
  5. Step 5: Solve for x
    x = 50,531,581,933.98/256,136.64
  6. Step 6: Final answer
    x = 197,283.69

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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.