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Finding the Fourth Proportional to 138,056.69, 190,440.38 and 82,851.90

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Solution

The fourth proportional to 138,056.69, 190,440.38 and 82,851.90 is: 114,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,056.69 : 190,440.38 = 82,851.90 : x
  2. Step 2: Convert to fraction form
    138,056.69/190,440.38 = 82,851.90/x
  3. Step 3: Cross multiply
    138,056.69x = 190,440.38 × 82,851.90
  4. Step 4: Simplify right side
    138,056.69x = 15,778,346,812.70
  5. Step 5: Solve for x
    x = 15,778,346,812.70/138,056.69
  6. Step 6: Final answer
    x = 114,288.90

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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.