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Finding the Fourth Proportional to 252,107.60, 377,383.80 and 146,613.20

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Solution

The fourth proportional to 252,107.60, 377,383.80 and 146,613.20 is: 219,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,107.60 : 377,383.80 = 146,613.20 : x
  2. Step 2: Convert to fraction form
    252,107.60/377,383.80 = 146,613.20/x
  3. Step 3: Cross multiply
    252,107.60x = 377,383.80 × 146,613.20
  4. Step 4: Simplify right side
    252,107.60x = 55,329,446,546.16
  5. Step 5: Solve for x
    x = 55,329,446,546.16/252,107.60
  6. Step 6: Final answer
    x = 219,467.59

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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.