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Finding the Fourth Proportional to 151,273.70, 208,762.67 and 83,295.66

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Solution

The fourth proportional to 151,273.70, 208,762.67 and 83,295.66 is: 114,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,273.70 : 208,762.67 = 83,295.66 : x
  2. Step 2: Convert to fraction form
    151,273.70/208,762.67 = 83,295.66/x
  3. Step 3: Cross multiply
    151,273.70x = 208,762.67 × 83,295.66
  4. Step 4: Simplify right side
    151,273.70x = 17,389,024,589.25
  5. Step 5: Solve for x
    x = 17,389,024,589.25/151,273.70
  6. Step 6: Final answer
    x = 114,950.75

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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.