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Finding the Fourth Proportional to 145,742.70, 218,614.05 and 52,257.90

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Solution

The fourth proportional to 145,742.70, 218,614.05 and 52,257.90 is: 78,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,742.70 : 218,614.05 = 52,257.90 : x
  2. Step 2: Convert to fraction form
    145,742.70/218,614.05 = 52,257.90/x
  3. Step 3: Cross multiply
    145,742.70x = 218,614.05 × 52,257.90
  4. Step 4: Simplify right side
    145,742.70x = 11,424,311,163.50
  5. Step 5: Solve for x
    x = 11,424,311,163.50/145,742.70
  6. Step 6: Final answer
    x = 78,386.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.