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Finding the Fourth Proportional to 123,277.80, 184,448.70 and 81,805.80

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Solution

The fourth proportional to 123,277.80, 184,448.70 and 81,805.80 is: 122,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,277.80 : 184,448.70 = 81,805.80 : x
  2. Step 2: Convert to fraction form
    123,277.80/184,448.70 = 81,805.80/x
  3. Step 3: Cross multiply
    123,277.80x = 184,448.70 × 81,805.80
  4. Step 4: Simplify right side
    123,277.80x = 15,088,973,462.46
  5. Step 5: Solve for x
    x = 15,088,973,462.46/123,277.80
  6. Step 6: Final answer
    x = 122,398.14

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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.