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Finding the Fourth Proportional to 259,889.25, 358,647.17 and 146,719.29

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Solution

The fourth proportional to 259,889.25, 358,647.17 and 146,719.29 is: 202,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,889.25 : 358,647.17 = 146,719.29 : x
  2. Step 2: Convert to fraction form
    259,889.25/358,647.17 = 146,719.29/x
  3. Step 3: Cross multiply
    259,889.25x = 358,647.17 × 146,719.29
  4. Step 4: Simplify right side
    259,889.25x = 52,620,457,409.31
  5. Step 5: Solve for x
    x = 52,620,457,409.31/259,889.25
  6. Step 6: Final answer
    x = 202,472.62

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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.