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Finding the Fourth Proportional to 165,898.56, 248,755.52 and 98,458

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Solution

The fourth proportional to 165,898.56, 248,755.52 and 98,458 is: 147,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,898.56 : 248,755.52 = 98,458 : x
  2. Step 2: Convert to fraction form
    165,898.56/248,755.52 = 98,458/x
  3. Step 3: Cross multiply
    165,898.56x = 248,755.52 × 98,458
  4. Step 4: Simplify right side
    165,898.56x = 24,491,970,988.16
  5. Step 5: Solve for x
    x = 24,491,970,988.16/165,898.56
  6. Step 6: Final answer
    x = 147,632.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.