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Finding the Fourth Proportional to 117,540.80, 176,311.20 and 99,826.10

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Solution

The fourth proportional to 117,540.80, 176,311.20 and 99,826.10 is: 149,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,540.80 : 176,311.20 = 99,826.10 : x
  2. Step 2: Convert to fraction form
    117,540.80/176,311.20 = 99,826.10/x
  3. Step 3: Cross multiply
    117,540.80x = 176,311.20 × 99,826.10
  4. Step 4: Simplify right side
    117,540.80x = 17,600,459,482.32
  5. Step 5: Solve for x
    x = 17,600,459,482.32/117,540.80
  6. Step 6: Final answer
    x = 149,739.15

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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.