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Finding the Fourth Proportional to 130,023.60, 194,743.80 and 130,023.60

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Solution

The fourth proportional to 130,023.60, 194,743.80 and 130,023.60 is: 194,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,023.60 : 194,743.80 = 130,023.60 : x
  2. Step 2: Convert to fraction form
    130,023.60/194,743.80 = 130,023.60/x
  3. Step 3: Cross multiply
    130,023.60x = 194,743.80 × 130,023.60
  4. Step 4: Simplify right side
    130,023.60x = 25,321,289,953.68
  5. Step 5: Solve for x
    x = 25,321,289,953.68/130,023.60
  6. Step 6: Final answer
    x = 194,743.80

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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.