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Finding the Fourth Proportional to 156,774.80, 235,162.20 and 110,235.44

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Solution

The fourth proportional to 156,774.80, 235,162.20 and 110,235.44 is: 165,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,774.80 : 235,162.20 = 110,235.44 : x
  2. Step 2: Convert to fraction form
    156,774.80/235,162.20 = 110,235.44/x
  3. Step 3: Cross multiply
    156,774.80x = 235,162.20 × 110,235.44
  4. Step 4: Simplify right side
    156,774.80x = 25,923,208,588.37
  5. Step 5: Solve for x
    x = 25,923,208,588.37/156,774.80
  6. Step 6: Final answer
    x = 165,353.16

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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.