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Finding the Fourth Proportional to 257,236.64, 385,911.34 and 86,452.23

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Solution

The fourth proportional to 257,236.64, 385,911.34 and 86,452.23 is: 129,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,236.64 : 385,911.34 = 86,452.23 : x
  2. Step 2: Convert to fraction form
    257,236.64/385,911.34 = 86,452.23/x
  3. Step 3: Cross multiply
    257,236.64x = 385,911.34 × 86,452.23
  4. Step 4: Simplify right side
    257,236.64x = 33,362,895,709.16
  5. Step 5: Solve for x
    x = 33,362,895,709.16/257,236.64
  6. Step 6: Final answer
    x = 129,697.29

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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.