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Finding the Fourth Proportional to 200,409.60, 276,502.32 and 115,514.88

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Solution

The fourth proportional to 200,409.60, 276,502.32 and 115,514.88 is: 159,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,409.60 : 276,502.32 = 115,514.88 : x
  2. Step 2: Convert to fraction form
    200,409.60/276,502.32 = 115,514.88/x
  3. Step 3: Cross multiply
    200,409.60x = 276,502.32 × 115,514.88
  4. Step 4: Simplify right side
    200,409.60x = 31,940,132,314.52
  5. Step 5: Solve for x
    x = 31,940,132,314.52/200,409.60
  6. Step 6: Final answer
    x = 159,374.26

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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.