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Finding the Fourth Proportional to 251,057.88, 346,287.91 and 160,373.58

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Solution

The fourth proportional to 251,057.88, 346,287.91 and 160,373.58 is: 221,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,057.88 : 346,287.91 = 160,373.58 : x
  2. Step 2: Convert to fraction form
    251,057.88/346,287.91 = 160,373.58/x
  3. Step 3: Cross multiply
    251,057.88x = 346,287.91 × 160,373.58
  4. Step 4: Simplify right side
    251,057.88x = 55,535,431,837.42
  5. Step 5: Solve for x
    x = 55,535,431,837.42/251,057.88
  6. Step 6: Final answer
    x = 221,205.69

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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.