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Finding the Fourth Proportional to 259,843.25, 358,583.71 and 146,673.29

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Solution

The fourth proportional to 259,843.25, 358,583.71 and 146,673.29 is: 202,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,843.25 : 358,583.71 = 146,673.29 : x
  2. Step 2: Convert to fraction form
    259,843.25/358,583.71 = 146,673.29/x
  3. Step 3: Cross multiply
    259,843.25x = 358,583.71 × 146,673.29
  4. Step 4: Simplify right side
    259,843.25x = 52,594,652,486.11
  5. Step 5: Solve for x
    x = 52,594,652,486.11/259,843.25
  6. Step 6: Final answer
    x = 202,409.15

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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.