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Finding the Fourth Proportional to 123,120, 184,705.92 and 49,248

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Solution

The fourth proportional to 123,120, 184,705.92 and 49,248 is: 73,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,120 : 184,705.92 = 49,248 : x
  2. Step 2: Convert to fraction form
    123,120/184,705.92 = 49,248/x
  3. Step 3: Cross multiply
    123,120x = 184,705.92 × 49,248
  4. Step 4: Simplify right side
    123,120x = 9,096,397,148.16
  5. Step 5: Solve for x
    x = 9,096,397,148.16/123,120
  6. Step 6: Final answer
    x = 73,882.37

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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.