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Finding the Fourth Proportional to 127,224.40, 190,836.60 and 105,062.80

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Solution

The fourth proportional to 127,224.40, 190,836.60 and 105,062.80 is: 157,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,224.40 : 190,836.60 = 105,062.80 : x
  2. Step 2: Convert to fraction form
    127,224.40/190,836.60 = 105,062.80/x
  3. Step 3: Cross multiply
    127,224.40x = 190,836.60 × 105,062.80
  4. Step 4: Simplify right side
    127,224.40x = 20,049,827,538.48
  5. Step 5: Solve for x
    x = 20,049,827,538.48/127,224.40
  6. Step 6: Final answer
    x = 157,594.20

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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.