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Finding the Fourth Proportional to 101,076.38, 139,530.24 and 65,283.84

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Solution

The fourth proportional to 101,076.38, 139,530.24 and 65,283.84 is: 90,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,076.38 : 139,530.24 = 65,283.84 : x
  2. Step 2: Convert to fraction form
    101,076.38/139,530.24 = 65,283.84/x
  3. Step 3: Cross multiply
    101,076.38x = 139,530.24 × 65,283.84
  4. Step 4: Simplify right side
    101,076.38x = 9,109,069,863.32
  5. Step 5: Solve for x
    x = 9,109,069,863.32/101,076.38
  6. Step 6: Final answer
    x = 90,120.66

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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.