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Finding the Fourth Proportional to 135,700.72, 187,260.40 and 75,266

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Solution

The fourth proportional to 135,700.72, 187,260.40 and 75,266 is: 103,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,700.72 : 187,260.40 = 75,266 : x
  2. Step 2: Convert to fraction form
    135,700.72/187,260.40 = 75,266/x
  3. Step 3: Cross multiply
    135,700.72x = 187,260.40 × 75,266
  4. Step 4: Simplify right side
    135,700.72x = 14,094,341,266.40
  5. Step 5: Solve for x
    x = 14,094,341,266.40/135,700.72
  6. Step 6: Final answer
    x = 103,863.42

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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.