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Finding the Fourth Proportional to 130,615.83, 180,238.32 and 72,474.03

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Solution

The fourth proportional to 130,615.83, 180,238.32 and 72,474.03 is: 100,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,615.83 : 180,238.32 = 72,474.03 : x
  2. Step 2: Convert to fraction form
    130,615.83/180,238.32 = 72,474.03/x
  3. Step 3: Cross multiply
    130,615.83x = 180,238.32 × 72,474.03
  4. Step 4: Simplify right side
    130,615.83x = 13,062,597,410.83
  5. Step 5: Solve for x
    x = 13,062,597,410.83/130,615.83
  6. Step 6: Final answer
    x = 100,007.77

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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.