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Finding the Fourth Proportional to 145,846.20, 218,769.30 and 52,339.80

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Solution

The fourth proportional to 145,846.20, 218,769.30 and 52,339.80 is: 78,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,846.20 : 218,769.30 = 52,339.80 : x
  2. Step 2: Convert to fraction form
    145,846.20/218,769.30 = 52,339.80/x
  3. Step 3: Cross multiply
    145,846.20x = 218,769.30 × 52,339.80
  4. Step 4: Simplify right side
    145,846.20x = 11,450,341,408.14
  5. Step 5: Solve for x
    x = 11,450,341,408.14/145,846.20
  6. Step 6: Final answer
    x = 78,509.70

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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.