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Finding the Fourth Proportional to 122,760.49, 184,148.52 and 38,523.98

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Solution

The fourth proportional to 122,760.49, 184,148.52 and 38,523.98 is: 57,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,760.49 : 184,148.52 = 38,523.98 : x
  2. Step 2: Convert to fraction form
    122,760.49/184,148.52 = 38,523.98/x
  3. Step 3: Cross multiply
    122,760.49x = 184,148.52 × 38,523.98
  4. Step 4: Simplify right side
    122,760.49x = 7,094,133,398.28
  5. Step 5: Solve for x
    x = 7,094,133,398.28/122,760.49
  6. Step 6: Final answer
    x = 57,788.41

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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.