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Finding the Fourth Proportional to 242,138, 363,150.84 and 92,324.72

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Solution

The fourth proportional to 242,138, 363,150.84 and 92,324.72 is: 138,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,138 : 363,150.84 = 92,324.72 : x
  2. Step 2: Convert to fraction form
    242,138/363,150.84 = 92,324.72/x
  3. Step 3: Cross multiply
    242,138x = 363,150.84 × 92,324.72
  4. Step 4: Simplify right side
    242,138x = 33,527,799,620.76
  5. Step 5: Solve for x
    x = 33,527,799,620.76/242,138
  6. Step 6: Final answer
    x = 138,465.67

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Why These Related Problems?

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