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Finding the Fourth Proportional to 259,296, 357,819.52 and 146,112

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Solution

The fourth proportional to 259,296, 357,819.52 and 146,112 is: 201,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,296 : 357,819.52 = 146,112 : x
  2. Step 2: Convert to fraction form
    259,296/357,819.52 = 146,112/x
  3. Step 3: Cross multiply
    259,296x = 357,819.52 × 146,112
  4. Step 4: Simplify right side
    259,296x = 52,281,725,706.24
  5. Step 5: Solve for x
    x = 52,281,725,706.24/259,296
  6. Step 6: Final answer
    x = 201,629.51

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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.