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Finding the Fourth Proportional to 135,782.96, 187,416.12 and 76,186.16

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Solution

The fourth proportional to 135,782.96, 187,416.12 and 76,186.16 is: 105,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,782.96 : 187,416.12 = 76,186.16 : x
  2. Step 2: Convert to fraction form
    135,782.96/187,416.12 = 76,186.16/x
  3. Step 3: Cross multiply
    135,782.96x = 187,416.12 × 76,186.16
  4. Step 4: Simplify right side
    135,782.96x = 14,278,514,504.90
  5. Step 5: Solve for x
    x = 14,278,514,504.90/135,782.96
  6. Step 6: Final answer
    x = 105,156.90

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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.