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Finding the Fourth Proportional to 161,423.64, 242,174.34 and 50,615.64

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Solution

The fourth proportional to 161,423.64, 242,174.34 and 50,615.64 is: 75,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,423.64 : 242,174.34 = 50,615.64 : x
  2. Step 2: Convert to fraction form
    161,423.64/242,174.34 = 50,615.64/x
  3. Step 3: Cross multiply
    161,423.64x = 242,174.34 × 50,615.64
  4. Step 4: Simplify right side
    161,423.64x = 12,257,809,210.68
  5. Step 5: Solve for x
    x = 12,257,809,210.68/161,423.64
  6. Step 6: Final answer
    x = 75,935.65

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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.