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Finding the Fourth Proportional to 256,036.44, 353,231.74 and 160,376.60

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Solution

The fourth proportional to 256,036.44, 353,231.74 and 160,376.60 is: 221,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,036.44 : 353,231.74 = 160,376.60 : x
  2. Step 2: Convert to fraction form
    256,036.44/353,231.74 = 160,376.60/x
  3. Step 3: Cross multiply
    256,036.44x = 353,231.74 × 160,376.60
  4. Step 4: Simplify right side
    256,036.44x = 56,650,105,473.28
  5. Step 5: Solve for x
    x = 56,650,105,473.28/256,036.44
  6. Step 6: Final answer
    x = 221,257.98

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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.