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Finding the Fourth Proportional to 151,491.38, 209,059.53 and 83,510.79

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Solution

The fourth proportional to 151,491.38, 209,059.53 and 83,510.79 is: 115,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,491.38 : 209,059.53 = 83,510.79 : x
  2. Step 2: Convert to fraction form
    151,491.38/209,059.53 = 83,510.79/x
  3. Step 3: Cross multiply
    151,491.38x = 209,059.53 × 83,510.79
  4. Step 4: Simplify right side
    151,491.38x = 17,458,726,507.33
  5. Step 5: Solve for x
    x = 17,458,726,507.33/151,491.38
  6. Step 6: Final answer
    x = 115,245.68

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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.