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Finding the Fourth Proportional to 165,901.56, 248,760.02 and 98,461

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Solution

The fourth proportional to 165,901.56, 248,760.02 and 98,461 is: 147,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,901.56 : 248,760.02 = 98,461 : x
  2. Step 2: Convert to fraction form
    165,901.56/248,760.02 = 98,461/x
  3. Step 3: Cross multiply
    165,901.56x = 248,760.02 × 98,461
  4. Step 4: Simplify right side
    165,901.56x = 24,493,160,329.22
  5. Step 5: Solve for x
    x = 24,493,160,329.22/165,901.56
  6. Step 6: Final answer
    x = 147,636.71

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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.