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Finding the Fourth Proportional to 256,977.60, 385,503.12 and 79,499.76

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Solution

The fourth proportional to 256,977.60, 385,503.12 and 79,499.76 is: 119,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,977.60 : 385,503.12 = 79,499.76 : x
  2. Step 2: Convert to fraction form
    256,977.60/385,503.12 = 79,499.76/x
  3. Step 3: Cross multiply
    256,977.60x = 385,503.12 × 79,499.76
  4. Step 4: Simplify right side
    256,977.60x = 30,647,405,519.25
  5. Step 5: Solve for x
    x = 30,647,405,519.25/256,977.60
  6. Step 6: Final answer
    x = 119,261.00

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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.