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Finding the Fourth Proportional to 223,463.40, 335,195.10 and 156,978.60

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Solution

The fourth proportional to 223,463.40, 335,195.10 and 156,978.60 is: 235,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,463.40 : 335,195.10 = 156,978.60 : x
  2. Step 2: Convert to fraction form
    223,463.40/335,195.10 = 156,978.60/x
  3. Step 3: Cross multiply
    223,463.40x = 335,195.10 × 156,978.60
  4. Step 4: Simplify right side
    223,463.40x = 52,618,457,524.86
  5. Step 5: Solve for x
    x = 52,618,457,524.86/223,463.40
  6. Step 6: Final answer
    x = 235,467.90

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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.