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Finding the Fourth Proportional to 135,872.74, 187,509.23 and 75,444.40

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Solution

The fourth proportional to 135,872.74, 187,509.23 and 75,444.40 is: 104,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,872.74 : 187,509.23 = 75,444.40 : x
  2. Step 2: Convert to fraction form
    135,872.74/187,509.23 = 75,444.40/x
  3. Step 3: Cross multiply
    135,872.74x = 187,509.23 × 75,444.40
  4. Step 4: Simplify right side
    135,872.74x = 14,146,521,351.81
  5. Step 5: Solve for x
    x = 14,146,521,351.81/135,872.74
  6. Step 6: Final answer
    x = 104,115.96

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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.