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Finding the Fourth Proportional to 259,299.54, 357,833.43 and 146,126.34

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Solution

The fourth proportional to 259,299.54, 357,833.43 and 146,126.34 is: 201,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,299.54 : 357,833.43 = 146,126.34 : x
  2. Step 2: Convert to fraction form
    259,299.54/357,833.43 = 146,126.34/x
  3. Step 3: Cross multiply
    259,299.54x = 357,833.43 × 146,126.34
  4. Step 4: Simplify right side
    259,299.54x = 52,288,889,455.55
  5. Step 5: Solve for x
    x = 52,288,889,455.55/259,299.54
  6. Step 6: Final answer
    x = 201,654.39

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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.