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Finding the Fourth Proportional to 137,218.82, 205,615.66 and 95,180.63

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Solution

The fourth proportional to 137,218.82, 205,615.66 and 95,180.63 is: 142,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,218.82 : 205,615.66 = 95,180.63 : x
  2. Step 2: Convert to fraction form
    137,218.82/205,615.66 = 95,180.63/x
  3. Step 3: Cross multiply
    137,218.82x = 205,615.66 × 95,180.63
  4. Step 4: Simplify right side
    137,218.82x = 19,570,627,028.59
  5. Step 5: Solve for x
    x = 19,570,627,028.59/137,218.82
  6. Step 6: Final answer
    x = 142,623.50

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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.