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Finding the Fourth Proportional to 130,744.64, 180,208.32 and 100,107.20

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Solution

The fourth proportional to 130,744.64, 180,208.32 and 100,107.20 is: 137,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,744.64 : 180,208.32 = 100,107.20 : x
  2. Step 2: Convert to fraction form
    130,744.64/180,208.32 = 100,107.20/x
  3. Step 3: Cross multiply
    130,744.64x = 180,208.32 × 100,107.20
  4. Step 4: Simplify right side
    130,744.64x = 18,040,150,331.90
  5. Step 5: Solve for x
    x = 18,040,150,331.90/130,744.64
  6. Step 6: Final answer
    x = 137,980.04

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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.