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Finding the Fourth Proportional to 188,792.64, 260,528.94 and 102,747.96

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Solution

The fourth proportional to 188,792.64, 260,528.94 and 102,747.96 is: 141,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,792.64 : 260,528.94 = 102,747.96 : x
  2. Step 2: Convert to fraction form
    188,792.64/260,528.94 = 102,747.96/x
  3. Step 3: Cross multiply
    188,792.64x = 260,528.94 × 102,747.96
  4. Step 4: Simplify right side
    188,792.64x = 26,768,817,105.96
  5. Step 5: Solve for x
    x = 26,768,817,105.96/188,792.64
  6. Step 6: Final answer
    x = 141,789.52

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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.