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Finding the Fourth Proportional to 223,847.70, 308,811.74 and 147,268.28

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Solution

The fourth proportional to 223,847.70, 308,811.74 and 147,268.28 is: 203,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,847.70 : 308,811.74 = 147,268.28 : x
  2. Step 2: Convert to fraction form
    223,847.70/308,811.74 = 147,268.28/x
  3. Step 3: Cross multiply
    223,847.70x = 308,811.74 × 147,268.28
  4. Step 4: Simplify right side
    223,847.70x = 45,478,173,793.61
  5. Step 5: Solve for x
    x = 45,478,173,793.61/223,847.70
  6. Step 6: Final answer
    x = 203,165.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.