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Finding the Fourth Proportional to 162,730.96, 243,924.21 and 74,046.74

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Solution

The fourth proportional to 162,730.96, 243,924.21 and 74,046.74 is: 110,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,730.96 : 243,924.21 = 74,046.74 : x
  2. Step 2: Convert to fraction form
    162,730.96/243,924.21 = 74,046.74/x
  3. Step 3: Cross multiply
    162,730.96x = 243,924.21 × 74,046.74
  4. Step 4: Simplify right side
    162,730.96x = 18,061,792,710.03
  5. Step 5: Solve for x
    x = 18,061,792,710.03/162,730.96
  6. Step 6: Final answer
    x = 110,991.74

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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.