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Finding the Fourth Proportional to 127,114.80, 190,672.20 and 106,378.80

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Solution

The fourth proportional to 127,114.80, 190,672.20 and 106,378.80 is: 159,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,114.80 : 190,672.20 = 106,378.80 : x
  2. Step 2: Convert to fraction form
    127,114.80/190,672.20 = 106,378.80/x
  3. Step 3: Cross multiply
    127,114.80x = 190,672.20 × 106,378.80
  4. Step 4: Simplify right side
    127,114.80x = 20,283,479,829.36
  5. Step 5: Solve for x
    x = 20,283,479,829.36/127,114.80
  6. Step 6: Final answer
    x = 159,568.20

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1.5x scale

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.