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Finding the Fourth Proportional to 188,011.74, 259,455.51 and 116,377.50

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Solution

The fourth proportional to 188,011.74, 259,455.51 and 116,377.50 is: 160,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,011.74 : 259,455.51 = 116,377.50 : x
  2. Step 2: Convert to fraction form
    188,011.74/259,455.51 = 116,377.50/x
  3. Step 3: Cross multiply
    188,011.74x = 259,455.51 × 116,377.50
  4. Step 4: Simplify right side
    188,011.74x = 30,194,783,615.03
  5. Step 5: Solve for x
    x = 30,194,783,615.03/188,011.74
  6. Step 6: Final answer
    x = 160,600.52

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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.