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Finding the Fourth Proportional to 135,830.70, 187,448.45 and 75,405.24

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Solution

The fourth proportional to 135,830.70, 187,448.45 and 75,405.24 is: 104,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,830.70 : 187,448.45 = 75,405.24 : x
  2. Step 2: Convert to fraction form
    135,830.70/187,448.45 = 75,405.24/x
  3. Step 3: Cross multiply
    135,830.70x = 187,448.45 × 75,405.24
  4. Step 4: Simplify right side
    135,830.70x = 14,134,594,982.85
  5. Step 5: Solve for x
    x = 14,134,594,982.85/135,830.70
  6. Step 6: Final answer
    x = 104,060.39

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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.