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Finding the Fourth Proportional to 137,575.30, 189,893.28 and 81,019.48

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Solution

The fourth proportional to 137,575.30, 189,893.28 and 81,019.48 is: 111,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,575.30 : 189,893.28 = 81,019.48 : x
  2. Step 2: Convert to fraction form
    137,575.30/189,893.28 = 81,019.48/x
  3. Step 3: Cross multiply
    137,575.30x = 189,893.28 × 81,019.48
  4. Step 4: Simplify right side
    137,575.30x = 15,385,054,801.09
  5. Step 5: Solve for x
    x = 15,385,054,801.09/137,575.30
  6. Step 6: Final answer
    x = 111,830.07

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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.