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Finding the Fourth Proportional to 188,426.60, 259,964.40 and 116,780.48

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Solution

The fourth proportional to 188,426.60, 259,964.40 and 116,780.48 is: 161,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,426.60 : 259,964.40 = 116,780.48 : x
  2. Step 2: Convert to fraction form
    188,426.60/259,964.40 = 116,780.48/x
  3. Step 3: Cross multiply
    188,426.60x = 259,964.40 × 116,780.48
  4. Step 4: Simplify right side
    188,426.60x = 30,358,767,414.91
  5. Step 5: Solve for x
    x = 30,358,767,414.91/188,426.60
  6. Step 6: Final answer
    x = 161,117.21

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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.