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Finding the Fourth Proportional to 252,894.54, 349,004.52 and 145,464.54

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Solution

The fourth proportional to 252,894.54, 349,004.52 and 145,464.54 is: 200,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,894.54 : 349,004.52 = 145,464.54 : x
  2. Step 2: Convert to fraction form
    252,894.54/349,004.52 = 145,464.54/x
  3. Step 3: Cross multiply
    252,894.54x = 349,004.52 × 145,464.54
  4. Step 4: Simplify right side
    252,894.54x = 50,767,781,959.72
  5. Step 5: Solve for x
    x = 50,767,781,959.72/252,894.54
  6. Step 6: Final answer
    x = 200,746.85

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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.