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Finding the Fourth Proportional to 137,135.20, 189,427.28 and 105,249.28

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Solution

The fourth proportional to 137,135.20, 189,427.28 and 105,249.28 is: 145,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,135.20 : 189,427.28 = 105,249.28 : x
  2. Step 2: Convert to fraction form
    137,135.20/189,427.28 = 105,249.28/x
  3. Step 3: Cross multiply
    137,135.20x = 189,427.28 × 105,249.28
  4. Step 4: Simplify right side
    137,135.20x = 19,937,084,832.36
  5. Step 5: Solve for x
    x = 19,937,084,832.36/137,135.20
  6. Step 6: Final answer
    x = 145,382.69

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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.