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Finding the Fourth Proportional to 127,204.60, 190,643.70 and 71,044.60

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Solution

The fourth proportional to 127,204.60, 190,643.70 and 71,044.60 is: 106,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,204.60 : 190,643.70 = 71,044.60 : x
  2. Step 2: Convert to fraction form
    127,204.60/190,643.70 = 71,044.60/x
  3. Step 3: Cross multiply
    127,204.60x = 190,643.70 × 71,044.60
  4. Step 4: Simplify right side
    127,204.60x = 13,544,205,409.02
  5. Step 5: Solve for x
    x = 13,544,205,409.02/127,204.60
  6. Step 6: Final answer
    x = 106,475.75

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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.