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Finding the Fourth Proportional to 151,256.97, 208,726.69 and 83,260.66

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Solution

The fourth proportional to 151,256.97, 208,726.69 and 83,260.66 is: 114,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,256.97 : 208,726.69 = 83,260.66 : x
  2. Step 2: Convert to fraction form
    151,256.97/208,726.69 = 83,260.66/x
  3. Step 3: Cross multiply
    151,256.97x = 208,726.69 × 83,260.66
  4. Step 4: Simplify right side
    151,256.97x = 17,378,721,786.52
  5. Step 5: Solve for x
    x = 17,378,721,786.52/151,256.97
  6. Step 6: Final answer
    x = 114,895.35

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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.