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Finding the Fourth Proportional to 151,008.58, 208,393.19 and 82,098.19

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Solution

The fourth proportional to 151,008.58, 208,393.19 and 82,098.19 is: 113,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,008.58 : 208,393.19 = 82,098.19 : x
  2. Step 2: Convert to fraction form
    151,008.58/208,393.19 = 82,098.19/x
  3. Step 3: Cross multiply
    151,008.58x = 208,393.19 × 82,098.19
  4. Step 4: Simplify right side
    151,008.58x = 17,108,703,865.19
  5. Step 5: Solve for x
    x = 17,108,703,865.19/151,008.58
  6. Step 6: Final answer
    x = 113,296.24

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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.