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Finding the Fourth Proportional to 137,942.88, 190,383.36 and 128,938

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Solution

The fourth proportional to 137,942.88, 190,383.36 and 128,938 is: 177,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,942.88 : 190,383.36 = 128,938 : x
  2. Step 2: Convert to fraction form
    137,942.88/190,383.36 = 128,938/x
  3. Step 3: Cross multiply
    137,942.88x = 190,383.36 × 128,938
  4. Step 4: Simplify right side
    137,942.88x = 24,547,649,671.68
  5. Step 5: Solve for x
    x = 24,547,649,671.68/137,942.88
  6. Step 6: Final answer
    x = 177,955.18

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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.