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Finding the Fourth Proportional to 123,214.60, 184,821.90 and 83,848.60

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Solution

The fourth proportional to 123,214.60, 184,821.90 and 83,848.60 is: 125,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,214.60 : 184,821.90 = 83,848.60 : x
  2. Step 2: Convert to fraction form
    123,214.60/184,821.90 = 83,848.60/x
  3. Step 3: Cross multiply
    123,214.60x = 184,821.90 × 83,848.60
  4. Step 4: Simplify right side
    123,214.60x = 15,497,057,564.34
  5. Step 5: Solve for x
    x = 15,497,057,564.34/123,214.60
  6. Step 6: Final answer
    x = 125,772.90

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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.