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Finding the Fourth Proportional to 191,097.63, 263,671.86 and 115,644.51

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Solution

The fourth proportional to 191,097.63, 263,671.86 and 115,644.51 is: 159,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,097.63 : 263,671.86 = 115,644.51 : x
  2. Step 2: Convert to fraction form
    191,097.63/263,671.86 = 115,644.51/x
  3. Step 3: Cross multiply
    191,097.63x = 263,671.86 × 115,644.51
  4. Step 4: Simplify right side
    191,097.63x = 30,492,203,050.49
  5. Step 5: Solve for x
    x = 30,492,203,050.49/191,097.63
  6. Step 6: Final answer
    x = 159,563.48

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Why These Related Problems?

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