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Finding the Fourth Proportional to 99,514.64, 137,232.42 and 84,448.64

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Solution

The fourth proportional to 99,514.64, 137,232.42 and 84,448.64 is: 116,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,514.64 : 137,232.42 = 84,448.64 : x
  2. Step 2: Convert to fraction form
    99,514.64/137,232.42 = 84,448.64/x
  3. Step 3: Cross multiply
    99,514.64x = 137,232.42 × 84,448.64
  4. Step 4: Simplify right side
    99,514.64x = 11,589,091,232.91
  5. Step 5: Solve for x
    x = 11,589,091,232.91/99,514.64
  6. Step 6: Final answer
    x = 116,456.14

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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.