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Finding the Fourth Proportional to 295,941.60, 443,620.80 and 146,059.20

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Solution

The fourth proportional to 295,941.60, 443,620.80 and 146,059.20 is: 218,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,941.60 : 443,620.80 = 146,059.20 : x
  2. Step 2: Convert to fraction form
    295,941.60/443,620.80 = 146,059.20/x
  3. Step 3: Cross multiply
    295,941.60x = 443,620.80 × 146,059.20
  4. Step 4: Simplify right side
    295,941.60x = 64,794,899,151.36
  5. Step 5: Solve for x
    x = 64,794,899,151.36/295,941.60
  6. Step 6: Final answer
    x = 218,944.88

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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.