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Finding the Fourth Proportional to 151,138.80, 208,576.04 and 83,162.80

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Solution

The fourth proportional to 151,138.80, 208,576.04 and 83,162.80 is: 114,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,138.80 : 208,576.04 = 83,162.80 : x
  2. Step 2: Convert to fraction form
    151,138.80/208,576.04 = 83,162.80/x
  3. Step 3: Cross multiply
    151,138.80x = 208,576.04 × 83,162.80
  4. Step 4: Simplify right side
    151,138.80x = 17,345,767,499.31
  5. Step 5: Solve for x
    x = 17,345,767,499.31/151,138.80
  6. Step 6: Final answer
    x = 114,767.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.