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Finding the Fourth Proportional to 256,586.40, 384,879.60 and 130,177.80

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Solution

The fourth proportional to 256,586.40, 384,879.60 and 130,177.80 is: 195,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,586.40 : 384,879.60 = 130,177.80 : x
  2. Step 2: Convert to fraction form
    256,586.40/384,879.60 = 130,177.80/x
  3. Step 3: Cross multiply
    256,586.40x = 384,879.60 × 130,177.80
  4. Step 4: Simplify right side
    256,586.40x = 50,102,779,592.88
  5. Step 5: Solve for x
    x = 50,102,779,592.88/256,586.40
  6. Step 6: Final answer
    x = 195,266.70

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