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Finding the Fourth Proportional to 271,817.60, 407,823.60 and 114,094.40

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Solution

The fourth proportional to 271,817.60, 407,823.60 and 114,094.40 is: 171,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,817.60 : 407,823.60 = 114,094.40 : x
  2. Step 2: Convert to fraction form
    271,817.60/407,823.60 = 114,094.40/x
  3. Step 3: Cross multiply
    271,817.60x = 407,823.60 × 114,094.40
  4. Step 4: Simplify right side
    271,817.60x = 46,530,388,947.84
  5. Step 5: Solve for x
    x = 46,530,388,947.84/271,817.60
  6. Step 6: Final answer
    x = 171,182.40

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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.