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Finding the Fourth Proportional to 178,871.84, 268,346.48 and 54,222.24

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Solution

The fourth proportional to 178,871.84, 268,346.48 and 54,222.24 is: 81,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,871.84 : 268,346.48 = 54,222.24 : x
  2. Step 2: Convert to fraction form
    178,871.84/268,346.48 = 54,222.24/x
  3. Step 3: Cross multiply
    178,871.84x = 268,346.48 × 54,222.24
  4. Step 4: Simplify right side
    178,871.84x = 14,550,347,241.72
  5. Step 5: Solve for x
    x = 14,550,347,241.72/178,871.84
  6. Step 6: Final answer
    x = 81,345.10

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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.