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Finding the Fourth Proportional to 162,478.31, 243,628.16 and 50,127.86

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Solution

The fourth proportional to 162,478.31, 243,628.16 and 50,127.86 is: 75,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,478.31 : 243,628.16 = 50,127.86 : x
  2. Step 2: Convert to fraction form
    162,478.31/243,628.16 = 50,127.86/x
  3. Step 3: Cross multiply
    162,478.31x = 243,628.16 × 50,127.86
  4. Step 4: Simplify right side
    162,478.31x = 12,212,558,654.97
  5. Step 5: Solve for x
    x = 12,212,558,654.97/162,478.31
  6. Step 6: Final answer
    x = 75,164.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.