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Finding the Fourth Proportional to 191,744.72, 287,714.32 and 129,284

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Solution

The fourth proportional to 191,744.72, 287,714.32 and 129,284 is: 193,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,744.72 : 287,714.32 = 129,284 : x
  2. Step 2: Convert to fraction form
    191,744.72/287,714.32 = 129,284/x
  3. Step 3: Cross multiply
    191,744.72x = 287,714.32 × 129,284
  4. Step 4: Simplify right side
    191,744.72x = 37,196,858,146.88
  5. Step 5: Solve for x
    x = 37,196,858,146.88/191,744.72
  6. Step 6: Final answer
    x = 193,991.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.