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Finding the Fourth Proportional to 123,201.60, 184,802.40 and 118,363.20

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Solution

The fourth proportional to 123,201.60, 184,802.40 and 118,363.20 is: 177,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,201.60 : 184,802.40 = 118,363.20 : x
  2. Step 2: Convert to fraction form
    123,201.60/184,802.40 = 118,363.20/x
  3. Step 3: Cross multiply
    123,201.60x = 184,802.40 × 118,363.20
  4. Step 4: Simplify right side
    123,201.60x = 21,873,803,431.68
  5. Step 5: Solve for x
    x = 21,873,803,431.68/123,201.60
  6. Step 6: Final answer
    x = 177,544.80

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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.