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Finding the Fourth Proportional to 130,918.38, 180,662.64 and 80,016.30

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Solution

The fourth proportional to 130,918.38, 180,662.64 and 80,016.30 is: 110,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,918.38 : 180,662.64 = 80,016.30 : x
  2. Step 2: Convert to fraction form
    130,918.38/180,662.64 = 80,016.30/x
  3. Step 3: Cross multiply
    130,918.38x = 180,662.64 × 80,016.30
  4. Step 4: Simplify right side
    130,918.38x = 14,455,956,001.03
  5. Step 5: Solve for x
    x = 14,455,956,001.03/130,918.38
  6. Step 6: Final answer
    x = 110,419.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.