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Finding the Fourth Proportional to 130,960.36, 180,714.54 and 74,380.24

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Solution

The fourth proportional to 130,960.36, 180,714.54 and 74,380.24 is: 102,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,960.36 : 180,714.54 = 74,380.24 : x
  2. Step 2: Convert to fraction form
    130,960.36/180,714.54 = 74,380.24/x
  3. Step 3: Cross multiply
    130,960.36x = 180,714.54 × 74,380.24
  4. Step 4: Simplify right side
    130,960.36x = 13,441,590,856.69
  5. Step 5: Solve for x
    x = 13,441,590,856.69/130,960.36
  6. Step 6: Final answer
    x = 102,638.62

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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.