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Finding the Fourth Proportional to 161,484, 242,234.64 and 50,684.64

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Solution

The fourth proportional to 161,484, 242,234.64 and 50,684.64 is: 76,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,484 : 242,234.64 = 50,684.64 : x
  2. Step 2: Convert to fraction form
    161,484/242,234.64 = 50,684.64/x
  3. Step 3: Cross multiply
    161,484x = 242,234.64 × 50,684.64
  4. Step 4: Simplify right side
    161,484x = 12,277,575,523.93
  5. Step 5: Solve for x
    x = 12,277,575,523.93/161,484
  6. Step 6: Final answer
    x = 76,029.67

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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.