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Finding the Fourth Proportional to 120,836.30, 180,896.05 and 89,809.10

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Solution

The fourth proportional to 120,836.30, 180,896.05 and 89,809.10 is: 134,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,836.30 : 180,896.05 = 89,809.10 : x
  2. Step 2: Convert to fraction form
    120,836.30/180,896.05 = 89,809.10/x
  3. Step 3: Cross multiply
    120,836.30x = 180,896.05 × 89,809.10
  4. Step 4: Simplify right side
    120,836.30x = 16,246,111,444.06
  5. Step 5: Solve for x
    x = 16,246,111,444.06/120,836.30
  6. Step 6: Final answer
    x = 134,447.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.