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Finding the Fourth Proportional to 187,702.38, 259,034.54 and 114,114.69

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Solution

The fourth proportional to 187,702.38, 259,034.54 and 114,114.69 is: 157,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,702.38 : 259,034.54 = 114,114.69 : x
  2. Step 2: Convert to fraction form
    187,702.38/259,034.54 = 114,114.69/x
  3. Step 3: Cross multiply
    187,702.38x = 259,034.54 × 114,114.69
  4. Step 4: Simplify right side
    187,702.38x = 29,559,645,660.82
  5. Step 5: Solve for x
    x = 29,559,645,660.82/187,702.38
  6. Step 6: Final answer
    x = 157,481.46

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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.