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Finding the Fourth Proportional to 188,338.32, 259,955.06 and 116,779.68

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Solution

The fourth proportional to 188,338.32, 259,955.06 and 116,779.68 is: 161,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,338.32 : 259,955.06 = 116,779.68 : x
  2. Step 2: Convert to fraction form
    188,338.32/259,955.06 = 116,779.68/x
  3. Step 3: Cross multiply
    188,338.32x = 259,955.06 × 116,779.68
  4. Step 4: Simplify right side
    188,338.32x = 30,357,468,721.18
  5. Step 5: Solve for x
    x = 30,357,468,721.18/188,338.32
  6. Step 6: Final answer
    x = 161,185.83

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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.