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Finding the Fourth Proportional to 188,166.64, 259,669.84 and 106,493.40

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Solution

The fourth proportional to 188,166.64, 259,669.84 and 106,493.40 is: 146,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,166.64 : 259,669.84 = 106,493.40 : x
  2. Step 2: Convert to fraction form
    188,166.64/259,669.84 = 106,493.40/x
  3. Step 3: Cross multiply
    188,166.64x = 259,669.84 × 106,493.40
  4. Step 4: Simplify right side
    188,166.64x = 27,653,124,139.06
  5. Step 5: Solve for x
    x = 27,653,124,139.06/188,166.64
  6. Step 6: Final answer
    x = 146,960.82

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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.