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Finding the Fourth Proportional to 137,144.42, 189,176.54 and 90,577.57

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Solution

The fourth proportional to 137,144.42, 189,176.54 and 90,577.57 is: 124,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,144.42 : 189,176.54 = 90,577.57 : x
  2. Step 2: Convert to fraction form
    137,144.42/189,176.54 = 90,577.57/x
  3. Step 3: Cross multiply
    137,144.42x = 189,176.54 × 90,577.57
  4. Step 4: Simplify right side
    137,144.42x = 17,135,151,232.58
  5. Step 5: Solve for x
    x = 17,135,151,232.58/137,144.42
  6. Step 6: Final answer
    x = 124,942.39

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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.