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Finding the Fourth Proportional to 98,134.50, 147,204.18 and 35,805

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Solution

The fourth proportional to 98,134.50, 147,204.18 and 35,805 is: 53,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,134.50 : 147,204.18 = 35,805 : x
  2. Step 2: Convert to fraction form
    98,134.50/147,204.18 = 35,805/x
  3. Step 3: Cross multiply
    98,134.50x = 147,204.18 × 35,805
  4. Step 4: Simplify right side
    98,134.50x = 5,270,645,664.90
  5. Step 5: Solve for x
    x = 5,270,645,664.90/98,134.50
  6. Step 6: Final answer
    x = 53,708.39

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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.