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Finding the Fourth Proportional to 188,523, 260,162.28 and 103,640.67

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Solution

The fourth proportional to 188,523, 260,162.28 and 103,640.67 is: 143,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,523 : 260,162.28 = 103,640.67 : x
  2. Step 2: Convert to fraction form
    188,523/260,162.28 = 103,640.67/x
  3. Step 3: Cross multiply
    188,523x = 260,162.28 × 103,640.67
  4. Step 4: Simplify right side
    188,523x = 26,963,393,007.93
  5. Step 5: Solve for x
    x = 26,963,393,007.93/188,523
  6. Step 6: Final answer
    x = 143,024.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.