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Finding the Fourth Proportional to 101,077.13, 139,531.27 and 65,284.59

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Solution

The fourth proportional to 101,077.13, 139,531.27 and 65,284.59 is: 90,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,077.13 : 139,531.27 = 65,284.59 : x
  2. Step 2: Convert to fraction form
    101,077.13/139,531.27 = 65,284.59/x
  3. Step 3: Cross multiply
    101,077.13x = 139,531.27 × 65,284.59
  4. Step 4: Simplify right side
    101,077.13x = 9,109,242,236.57
  5. Step 5: Solve for x
    x = 9,109,242,236.57/101,077.13
  6. Step 6: Final answer
    x = 90,121.70

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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.