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Finding the Fourth Proportional to 130,722.72, 180,391.92 and 74,132.88

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Solution

The fourth proportional to 130,722.72, 180,391.92 and 74,132.88 is: 102,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,722.72 : 180,391.92 = 74,132.88 : x
  2. Step 2: Convert to fraction form
    130,722.72/180,391.92 = 74,132.88/x
  3. Step 3: Cross multiply
    130,722.72x = 180,391.92 × 74,132.88
  4. Step 4: Simplify right side
    130,722.72x = 13,372,972,558.33
  5. Step 5: Solve for x
    x = 13,372,972,558.33/130,722.72
  6. Step 6: Final answer
    x = 102,300.29

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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.