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Finding the Fourth Proportional to 186,540.52, 257,415.78 and 107,052.52

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Solution

The fourth proportional to 186,540.52, 257,415.78 and 107,052.52 is: 147,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,540.52 : 257,415.78 = 107,052.52 : x
  2. Step 2: Convert to fraction form
    186,540.52/257,415.78 = 107,052.52/x
  3. Step 3: Cross multiply
    186,540.52x = 257,415.78 × 107,052.52
  4. Step 4: Simplify right side
    186,540.52x = 27,557,007,936.77
  5. Step 5: Solve for x
    x = 27,557,007,936.77/186,540.52
  6. Step 6: Final answer
    x = 147,726.66

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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.