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Finding the Fourth Proportional to 184,097.84, 275,971.74 and 117,350.60

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Solution

The fourth proportional to 184,097.84, 275,971.74 and 117,350.60 is: 175,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,097.84 : 275,971.74 = 117,350.60 : x
  2. Step 2: Convert to fraction form
    184,097.84/275,971.74 = 117,350.60/x
  3. Step 3: Cross multiply
    184,097.84x = 275,971.74 × 117,350.60
  4. Step 4: Simplify right side
    184,097.84x = 32,385,449,272.04
  5. Step 5: Solve for x
    x = 32,385,449,272.04/184,097.84
  6. Step 6: Final answer
    x = 175,914.34

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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.