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Finding the Fourth Proportional to 154,813.97, 232,026.69 and 83,733.77

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Solution

The fourth proportional to 154,813.97, 232,026.69 and 83,733.77 is: 125,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,813.97 : 232,026.69 = 83,733.77 : x
  2. Step 2: Convert to fraction form
    154,813.97/232,026.69 = 83,733.77/x
  3. Step 3: Cross multiply
    154,813.97x = 232,026.69 × 83,733.77
  4. Step 4: Simplify right side
    154,813.97x = 19,428,469,494.32
  5. Step 5: Solve for x
    x = 19,428,469,494.32/154,813.97
  6. Step 6: Final answer
    x = 125,495.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.