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Finding the Fourth Proportional to 119,647.17, 164,959.74 and 98,057.43

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Solution

The fourth proportional to 119,647.17, 164,959.74 and 98,057.43 is: 135,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,647.17 : 164,959.74 = 98,057.43 : x
  2. Step 2: Convert to fraction form
    119,647.17/164,959.74 = 98,057.43/x
  3. Step 3: Cross multiply
    119,647.17x = 164,959.74 × 98,057.43
  4. Step 4: Simplify right side
    119,647.17x = 16,175,528,157.87
  5. Step 5: Solve for x
    x = 16,175,528,157.87/119,647.17
  6. Step 6: Final answer
    x = 135,193.57

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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.