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Finding the Fourth Proportional to 130,586.58, 180,311.13 and 100,323.90

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Solution

The fourth proportional to 130,586.58, 180,311.13 and 100,323.90 is: 138,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,586.58 : 180,311.13 = 100,323.90 : x
  2. Step 2: Convert to fraction form
    130,586.58/180,311.13 = 100,323.90/x
  3. Step 3: Cross multiply
    130,586.58x = 180,311.13 × 100,323.90
  4. Step 4: Simplify right side
    130,586.58x = 18,089,515,775.01
  5. Step 5: Solve for x
    x = 18,089,515,775.01/130,586.58
  6. Step 6: Final answer
    x = 138,525.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.