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Finding the Fourth Proportional to 161,403, 242,143.38 and 50,595

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Solution

The fourth proportional to 161,403, 242,143.38 and 50,595 is: 75,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,403 : 242,143.38 = 50,595 : x
  2. Step 2: Convert to fraction form
    161,403/242,143.38 = 50,595/x
  3. Step 3: Cross multiply
    161,403x = 242,143.38 × 50,595
  4. Step 4: Simplify right side
    161,403x = 12,251,244,311.10
  5. Step 5: Solve for x
    x = 12,251,244,311.10/161,403
  6. Step 6: Final answer
    x = 75,904.69

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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.