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Finding the Fourth Proportional to 188,972.52, 260,763.12 and 116,363.76

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Solution

The fourth proportional to 188,972.52, 260,763.12 and 116,363.76 is: 160,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,972.52 : 260,763.12 = 116,363.76 : x
  2. Step 2: Convert to fraction form
    188,972.52/260,763.12 = 116,363.76/x
  3. Step 3: Cross multiply
    188,972.52x = 260,763.12 × 116,363.76
  4. Step 4: Simplify right side
    188,972.52x = 30,343,377,112.53
  5. Step 5: Solve for x
    x = 30,343,377,112.53/188,972.52
  6. Step 6: Final answer
    x = 160,570.32

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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.