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Finding the Fourth Proportional to 257,286.38, 355,055.20 and 156,684.38

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Solution

The fourth proportional to 257,286.38, 355,055.20 and 156,684.38 is: 216,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,286.38 : 355,055.20 = 156,684.38 : x
  2. Step 2: Convert to fraction form
    257,286.38/355,055.20 = 156,684.38/x
  3. Step 3: Cross multiply
    257,286.38x = 355,055.20 × 156,684.38
  4. Step 4: Simplify right side
    257,286.38x = 55,631,601,710.79
  5. Step 5: Solve for x
    x = 55,631,601,710.79/257,286.38
  6. Step 6: Final answer
    x = 216,224.44

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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.