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Finding the Fourth Proportional to 123,259.40, 184,629.90 and 102,523.40

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Solution

The fourth proportional to 123,259.40, 184,629.90 and 102,523.40 is: 153,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,259.40 : 184,629.90 = 102,523.40 : x
  2. Step 2: Convert to fraction form
    123,259.40/184,629.90 = 102,523.40/x
  3. Step 3: Cross multiply
    123,259.40x = 184,629.90 × 102,523.40
  4. Step 4: Simplify right side
    123,259.40x = 18,928,885,089.66
  5. Step 5: Solve for x
    x = 18,928,885,089.66/123,259.40
  6. Step 6: Final answer
    x = 153,569.51

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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.