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Finding the Fourth Proportional to 127,412.53, 190,043.77 and 110,640.67

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Solution

The fourth proportional to 127,412.53, 190,043.77 and 110,640.67 is: 165,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,412.53 : 190,043.77 = 110,640.67 : x
  2. Step 2: Convert to fraction form
    127,412.53/190,043.77 = 110,640.67/x
  3. Step 3: Cross multiply
    127,412.53x = 190,043.77 × 110,640.67
  4. Step 4: Simplify right side
    127,412.53x = 21,026,570,042.13
  5. Step 5: Solve for x
    x = 21,026,570,042.13/127,412.53
  6. Step 6: Final answer
    x = 165,027.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.