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Finding the Fourth Proportional to 341,120.29, 470,753.52 and 188,163.13

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Solution

The fourth proportional to 341,120.29, 470,753.52 and 188,163.13 is: 259,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,120.29 : 470,753.52 = 188,163.13 : x
  2. Step 2: Convert to fraction form
    341,120.29/470,753.52 = 188,163.13/x
  3. Step 3: Cross multiply
    341,120.29x = 470,753.52 × 188,163.13
  4. Step 4: Simplify right side
    341,120.29x = 88,578,455,781.72
  5. Step 5: Solve for x
    x = 88,578,455,781.72/341,120.29
  6. Step 6: Final answer
    x = 259,669.27

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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.