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Finding the Fourth Proportional to 123,145.14, 184,749.03 and 34,398.84

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Solution

The fourth proportional to 123,145.14, 184,749.03 and 34,398.84 is: 51,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,145.14 : 184,749.03 = 34,398.84 : x
  2. Step 2: Convert to fraction form
    123,145.14/184,749.03 = 34,398.84/x
  3. Step 3: Cross multiply
    123,145.14x = 184,749.03 × 34,398.84
  4. Step 4: Simplify right side
    123,145.14x = 6,355,152,323.13
  5. Step 5: Solve for x
    x = 6,355,152,323.13/123,145.14
  6. Step 6: Final answer
    x = 51,607.01

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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.