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Finding the Fourth Proportional to 123,744.94, 185,378.64 and 73,864.96

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Solution

The fourth proportional to 123,744.94, 185,378.64 and 73,864.96 is: 110,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,744.94 : 185,378.64 = 73,864.96 : x
  2. Step 2: Convert to fraction form
    123,744.94/185,378.64 = 73,864.96/x
  3. Step 3: Cross multiply
    123,744.94x = 185,378.64 × 73,864.96
  4. Step 4: Simplify right side
    123,744.94x = 13,692,985,828.45
  5. Step 5: Solve for x
    x = 13,692,985,828.45/123,744.94
  6. Step 6: Final answer
    x = 110,654.92

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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.