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Finding the Fourth Proportional to 130,712.72, 180,388.68 and 74,135.12

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Solution

The fourth proportional to 130,712.72, 180,388.68 and 74,135.12 is: 102,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,712.72 : 180,388.68 = 74,135.12 : x
  2. Step 2: Convert to fraction form
    130,712.72/180,388.68 = 74,135.12/x
  3. Step 3: Cross multiply
    130,712.72x = 180,388.68 × 74,135.12
  4. Step 4: Simplify right side
    130,712.72x = 13,373,136,438.44
  5. Step 5: Solve for x
    x = 13,373,136,438.44/130,712.72
  6. Step 6: Final answer
    x = 102,309.37

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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.