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Finding the Fourth Proportional to 256,595.08, 354,014.36 and 166,065.42

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Solution

The fourth proportional to 256,595.08, 354,014.36 and 166,065.42 is: 229,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,595.08 : 354,014.36 = 166,065.42 : x
  2. Step 2: Convert to fraction form
    256,595.08/354,014.36 = 166,065.42/x
  3. Step 3: Cross multiply
    256,595.08x = 354,014.36 × 166,065.42
  4. Step 4: Simplify right side
    256,595.08x = 58,789,543,379.43
  5. Step 5: Solve for x
    x = 58,789,543,379.43/256,595.08
  6. Step 6: Final answer
    x = 229,114.07

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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.