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Finding the Fourth Proportional to 341,108.81, 470,726.42 and 188,153.45

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Solution

The fourth proportional to 341,108.81, 470,726.42 and 188,153.45 is: 259,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,108.81 : 470,726.42 = 188,153.45 : x
  2. Step 2: Convert to fraction form
    341,108.81/470,726.42 = 188,153.45/x
  3. Step 3: Cross multiply
    341,108.81x = 470,726.42 × 188,153.45
  4. Step 4: Simplify right side
    341,108.81x = 88,568,796,634.75
  5. Step 5: Solve for x
    x = 88,568,796,634.75/341,108.81
  6. Step 6: Final answer
    x = 259,649.69

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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.