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Finding the Fourth Proportional to 178,069, 245,735.24 and 98,581

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Solution

The fourth proportional to 178,069, 245,735.24 and 98,581 is: 136,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,069 : 245,735.24 = 98,581 : x
  2. Step 2: Convert to fraction form
    178,069/245,735.24 = 98,581/x
  3. Step 3: Cross multiply
    178,069x = 245,735.24 × 98,581
  4. Step 4: Simplify right side
    178,069x = 24,224,825,694.44
  5. Step 5: Solve for x
    x = 24,224,825,694.44/178,069
  6. Step 6: Final answer
    x = 136,041.79

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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.