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Finding the Fourth Proportional to 151,077.96, 208,488.96 and 82,168.02

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Solution

The fourth proportional to 151,077.96, 208,488.96 and 82,168.02 is: 113,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,077.96 : 208,488.96 = 82,168.02 : x
  2. Step 2: Convert to fraction form
    151,077.96/208,488.96 = 82,168.02/x
  3. Step 3: Cross multiply
    151,077.96x = 208,488.96 × 82,168.02
  4. Step 4: Simplify right side
    151,077.96x = 17,131,125,035.06
  5. Step 5: Solve for x
    x = 17,131,125,035.06/151,077.96
  6. Step 6: Final answer
    x = 113,392.62

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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.