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Finding the Fourth Proportional to 137,514.98, 189,767.25 and 76,260.81

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Solution

The fourth proportional to 137,514.98, 189,767.25 and 76,260.81 is: 105,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,514.98 : 189,767.25 = 76,260.81 : x
  2. Step 2: Convert to fraction form
    137,514.98/189,767.25 = 76,260.81/x
  3. Step 3: Cross multiply
    137,514.98x = 189,767.25 × 76,260.81
  4. Step 4: Simplify right side
    137,514.98x = 14,471,804,196.47
  5. Step 5: Solve for x
    x = 14,471,804,196.47/137,514.98
  6. Step 6: Final answer
    x = 105,238.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.