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Finding the Fourth Proportional to 219,953.08, 329,863.76 and 114,714.64

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Solution

The fourth proportional to 219,953.08, 329,863.76 and 114,714.64 is: 172,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,953.08 : 329,863.76 = 114,714.64 : x
  2. Step 2: Convert to fraction form
    219,953.08/329,863.76 = 114,714.64/x
  3. Step 3: Cross multiply
    219,953.08x = 329,863.76 × 114,714.64
  4. Step 4: Simplify right side
    219,953.08x = 37,840,202,477.45
  5. Step 5: Solve for x
    x = 37,840,202,477.45/219,953.08
  6. Step 6: Final answer
    x = 172,037.61

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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.