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Finding the Fourth Proportional to 162,883.20, 244,324.80 and 156,978.30

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Solution

The fourth proportional to 162,883.20, 244,324.80 and 156,978.30 is: 235,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,883.20 : 244,324.80 = 156,978.30 : x
  2. Step 2: Convert to fraction form
    162,883.20/244,324.80 = 156,978.30/x
  3. Step 3: Cross multiply
    162,883.20x = 244,324.80 × 156,978.30
  4. Step 4: Simplify right side
    162,883.20x = 38,353,691,751.84
  5. Step 5: Solve for x
    x = 38,353,691,751.84/162,883.20
  6. Step 6: Final answer
    x = 235,467.45

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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.