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Finding the Fourth Proportional to 256,539.52, 353,795.34 and 161,055.12

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Solution

The fourth proportional to 256,539.52, 353,795.34 and 161,055.12 is: 222,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,539.52 : 353,795.34 = 161,055.12 : x
  2. Step 2: Convert to fraction form
    256,539.52/353,795.34 = 161,055.12/x
  3. Step 3: Cross multiply
    256,539.52x = 353,795.34 × 161,055.12
  4. Step 4: Simplify right side
    256,539.52x = 56,980,550,939.14
  5. Step 5: Solve for x
    x = 56,980,550,939.14/256,539.52
  6. Step 6: Final answer
    x = 222,112.18

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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.