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Finding the Fourth Proportional to 209,714.94, 289,407.06 and 114,221.34

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Solution

The fourth proportional to 209,714.94, 289,407.06 and 114,221.34 is: 157,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,714.94 : 289,407.06 = 114,221.34 : x
  2. Step 2: Convert to fraction form
    209,714.94/289,407.06 = 114,221.34/x
  3. Step 3: Cross multiply
    209,714.94x = 289,407.06 × 114,221.34
  4. Step 4: Simplify right side
    209,714.94x = 33,056,462,198.66
  5. Step 5: Solve for x
    x = 33,056,462,198.66/209,714.94
  6. Step 6: Final answer
    x = 157,625.69

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