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Finding the Fourth Proportional to 137,232.36, 205,636.02 and 95,194.20

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Solution

The fourth proportional to 137,232.36, 205,636.02 and 95,194.20 is: 142,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,232.36 : 205,636.02 = 95,194.20 : x
  2. Step 2: Convert to fraction form
    137,232.36/205,636.02 = 95,194.20/x
  3. Step 3: Cross multiply
    137,232.36x = 205,636.02 × 95,194.20
  4. Step 4: Simplify right side
    137,232.36x = 19,575,356,415.08
  5. Step 5: Solve for x
    x = 19,575,356,415.08/137,232.36
  6. Step 6: Final answer
    x = 142,643.88

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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.