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Finding the Fourth Proportional to 161,743.70, 242,659.22 and 49,420.84

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Solution

The fourth proportional to 161,743.70, 242,659.22 and 49,420.84 is: 74,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,743.70 : 242,659.22 = 49,420.84 : x
  2. Step 2: Convert to fraction form
    161,743.70/242,659.22 = 49,420.84/x
  3. Step 3: Cross multiply
    161,743.70x = 242,659.22 × 49,420.84
  4. Step 4: Simplify right side
    161,743.70x = 11,992,421,025.74
  5. Step 5: Solve for x
    x = 11,992,421,025.74/161,743.70
  6. Step 6: Final answer
    x = 74,144.60

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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.