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Finding the Fourth Proportional to 162,433.74, 243,620.91 and 73,665.84

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Solution

The fourth proportional to 162,433.74, 243,620.91 and 73,665.84 is: 110,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,433.74 : 243,620.91 = 73,665.84 : x
  2. Step 2: Convert to fraction form
    162,433.74/243,620.91 = 73,665.84/x
  3. Step 3: Cross multiply
    162,433.74x = 243,620.91 × 73,665.84
  4. Step 4: Simplify right side
    162,433.74x = 17,946,538,976.71
  5. Step 5: Solve for x
    x = 17,946,538,976.71/162,433.74
  6. Step 6: Final answer
    x = 110,485.29

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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.