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Finding the Fourth Proportional to 257,253.66, 354,696.39 and 189,063

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Solution

The fourth proportional to 257,253.66, 354,696.39 and 189,063 is: 260,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,253.66 : 354,696.39 = 189,063 : x
  2. Step 2: Convert to fraction form
    257,253.66/354,696.39 = 189,063/x
  3. Step 3: Cross multiply
    257,253.66x = 354,696.39 × 189,063
  4. Step 4: Simplify right side
    257,253.66x = 67,059,963,582.57
  5. Step 5: Solve for x
    x = 67,059,963,582.57/257,253.66
  6. Step 6: Final answer
    x = 260,676.42

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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.