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Finding the Fourth Proportional to 461,722.56, 692,514.56 and 146,138.56

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Solution

The fourth proportional to 461,722.56, 692,514.56 and 146,138.56 is: 219,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,722.56 : 692,514.56 = 146,138.56 : x
  2. Step 2: Convert to fraction form
    461,722.56/692,514.56 = 146,138.56/x
  3. Step 3: Cross multiply
    461,722.56x = 692,514.56 × 146,138.56
  4. Step 4: Simplify right side
    461,722.56x = 101,203,080,577.43
  5. Step 5: Solve for x
    x = 101,203,080,577.43/461,722.56
  6. Step 6: Final answer
    x = 219,185.91

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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.