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Finding the Fourth Proportional to 152,228.67, 228,371.70 and 47,023.03

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Solution

The fourth proportional to 152,228.67, 228,371.70 and 47,023.03 is: 70,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,228.67 : 228,371.70 = 47,023.03 : x
  2. Step 2: Convert to fraction form
    152,228.67/228,371.70 = 47,023.03/x
  3. Step 3: Cross multiply
    152,228.67x = 228,371.70 × 47,023.03
  4. Step 4: Simplify right side
    152,228.67x = 10,738,729,762.05
  5. Step 5: Solve for x
    x = 10,738,729,762.05/152,228.67
  6. Step 6: Final answer
    x = 70,543.41

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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.