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Finding the Fourth Proportional to 135,514.34, 187,004.40 and 75,085.88

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Solution

The fourth proportional to 135,514.34, 187,004.40 and 75,085.88 is: 103,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,514.34 : 187,004.40 = 75,085.88 : x
  2. Step 2: Convert to fraction form
    135,514.34/187,004.40 = 75,085.88/x
  3. Step 3: Cross multiply
    135,514.34x = 187,004.40 × 75,085.88
  4. Step 4: Simplify right side
    135,514.34x = 14,041,389,937.87
  5. Step 5: Solve for x
    x = 14,041,389,937.87/135,514.34
  6. Step 6: Final answer
    x = 103,615.53

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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.