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Finding the Fourth Proportional to 188,405.76, 259,935.64 and 116,759.64

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Solution

The fourth proportional to 188,405.76, 259,935.64 and 116,759.64 is: 161,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,405.76 : 259,935.64 = 116,759.64 : x
  2. Step 2: Convert to fraction form
    188,405.76/259,935.64 = 116,759.64/x
  3. Step 3: Cross multiply
    188,405.76x = 259,935.64 × 116,759.64
  4. Step 4: Simplify right side
    188,405.76x = 30,349,991,749.57
  5. Step 5: Solve for x
    x = 30,349,991,749.57/188,405.76
  6. Step 6: Final answer
    x = 161,088.45

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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.