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Finding the Fourth Proportional to 228,011.93, 342,032 and 76,222.67

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Solution

The fourth proportional to 228,011.93, 342,032 and 76,222.67 is: 114,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,011.93 : 342,032 = 76,222.67 : x
  2. Step 2: Convert to fraction form
    228,011.93/342,032 = 76,222.67/x
  3. Step 3: Cross multiply
    228,011.93x = 342,032 × 76,222.67
  4. Step 4: Simplify right side
    228,011.93x = 26,070,591,410.36
  5. Step 5: Solve for x
    x = 26,070,591,410.36/228,011.93
  6. Step 6: Final answer
    x = 114,338.72

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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.