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Finding the Fourth Proportional to 183,731.40, 275,597.10 and 65,414.70

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Solution

The fourth proportional to 183,731.40, 275,597.10 and 65,414.70 is: 98,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,731.40 : 275,597.10 = 65,414.70 : x
  2. Step 2: Convert to fraction form
    183,731.40/275,597.10 = 65,414.70/x
  3. Step 3: Cross multiply
    183,731.40x = 275,597.10 × 65,414.70
  4. Step 4: Simplify right side
    183,731.40x = 18,028,101,617.37
  5. Step 5: Solve for x
    x = 18,028,101,617.37/183,731.40
  6. Step 6: Final answer
    x = 98,122.05

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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.