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Finding the Fourth Proportional to 130,920.38, 180,665.40 and 80,018.30

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Solution

The fourth proportional to 130,920.38, 180,665.40 and 80,018.30 is: 110,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,920.38 : 180,665.40 = 80,018.30 : x
  2. Step 2: Convert to fraction form
    130,920.38/180,665.40 = 80,018.30/x
  3. Step 3: Cross multiply
    130,920.38x = 180,665.40 × 80,018.30
  4. Step 4: Simplify right side
    130,920.38x = 14,456,538,176.82
  5. Step 5: Solve for x
    x = 14,456,538,176.82/130,920.38
  6. Step 6: Final answer
    x = 110,422.37

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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.