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Finding the Fourth Proportional to 256,094.80, 384,458.10 and 161,324.80

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Solution

The fourth proportional to 256,094.80, 384,458.10 and 161,324.80 is: 242,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,094.80 : 384,458.10 = 161,324.80 : x
  2. Step 2: Convert to fraction form
    256,094.80/384,458.10 = 161,324.80/x
  3. Step 3: Cross multiply
    256,094.80x = 384,458.10 × 161,324.80
  4. Step 4: Simplify right side
    256,094.80x = 62,022,626,090.88
  5. Step 5: Solve for x
    x = 62,022,626,090.88/256,094.80
  6. Step 6: Final answer
    x = 242,186.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.