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Finding the Fourth Proportional to 123,456.14, 184,105.10 and 109,848.14

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Solution

The fourth proportional to 123,456.14, 184,105.10 and 109,848.14 is: 163,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,456.14 : 184,105.10 = 109,848.14 : x
  2. Step 2: Convert to fraction form
    123,456.14/184,105.10 = 109,848.14/x
  3. Step 3: Cross multiply
    123,456.14x = 184,105.10 × 109,848.14
  4. Step 4: Simplify right side
    123,456.14x = 20,223,601,329.75
  5. Step 5: Solve for x
    x = 20,223,601,329.75/123,456.14
  6. Step 6: Final answer
    x = 163,812.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.