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Finding the Fourth Proportional to 151,034.86, 208,423.87 and 83,051.97

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Solution

The fourth proportional to 151,034.86, 208,423.87 and 83,051.97 is: 114,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,034.86 : 208,423.87 = 83,051.97 : x
  2. Step 2: Convert to fraction form
    151,034.86/208,423.87 = 83,051.97/x
  3. Step 3: Cross multiply
    151,034.86x = 208,423.87 × 83,051.97
  4. Step 4: Simplify right side
    151,034.86x = 17,310,012,998.52
  5. Step 5: Solve for x
    x = 17,310,012,998.52/151,034.86
  6. Step 6: Final answer
    x = 114,609.39

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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.