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Finding the Fourth Proportional to 161,402.63, 242,142.84 and 50,594.63

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Solution

The fourth proportional to 161,402.63, 242,142.84 and 50,594.63 is: 75,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,402.63 : 242,142.84 = 50,594.63 : x
  2. Step 2: Convert to fraction form
    161,402.63/242,142.84 = 50,594.63/x
  3. Step 3: Cross multiply
    161,402.63x = 242,142.84 × 50,594.63
  4. Step 4: Simplify right side
    161,402.63x = 12,251,126,186.24
  5. Step 5: Solve for x
    x = 12,251,126,186.24/161,402.63
  6. Step 6: Final answer
    x = 75,904.13

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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.