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Finding the Fourth Proportional to 251,314.30, 346,894.56 and 160,913.74

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Solution

The fourth proportional to 251,314.30, 346,894.56 and 160,913.74 is: 222,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,314.30 : 346,894.56 = 160,913.74 : x
  2. Step 2: Convert to fraction form
    251,314.30/346,894.56 = 160,913.74/x
  3. Step 3: Cross multiply
    251,314.30x = 346,894.56 × 160,913.74
  4. Step 4: Simplify right side
    251,314.30x = 55,820,101,035.25
  5. Step 5: Solve for x
    x = 55,820,101,035.25/251,314.30
  6. Step 6: Final answer
    x = 222,112.71

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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.