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Finding the Fourth Proportional to 253,774.54, 380,662.10 and 76,281.55

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Solution

The fourth proportional to 253,774.54, 380,662.10 and 76,281.55 is: 114,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,774.54 : 380,662.10 = 76,281.55 : x
  2. Step 2: Convert to fraction form
    253,774.54/380,662.10 = 76,281.55/x
  3. Step 3: Cross multiply
    253,774.54x = 380,662.10 × 76,281.55
  4. Step 4: Simplify right side
    253,774.54x = 29,037,493,967.25
  5. Step 5: Solve for x
    x = 29,037,493,967.25/253,774.54
  6. Step 6: Final answer
    x = 114,422.41

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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.