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Finding the Fourth Proportional to 151,103.67, 208,514.86 and 83,109.67

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Solution

The fourth proportional to 151,103.67, 208,514.86 and 83,109.67 is: 114,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,103.67 : 208,514.86 = 83,109.67 : x
  2. Step 2: Convert to fraction form
    151,103.67/208,514.86 = 83,109.67/x
  3. Step 3: Cross multiply
    151,103.67x = 208,514.86 × 83,109.67
  4. Step 4: Simplify right side
    151,103.67x = 17,329,601,853.32
  5. Step 5: Solve for x
    x = 17,329,601,853.32/151,103.67
  6. Step 6: Final answer
    x = 114,686.83

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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.