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Finding the Fourth Proportional to 271,813.60, 407,817.60 and 114,090.40

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Solution

The fourth proportional to 271,813.60, 407,817.60 and 114,090.40 is: 171,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,813.60 : 407,817.60 = 114,090.40 : x
  2. Step 2: Convert to fraction form
    271,813.60/407,817.60 = 114,090.40/x
  3. Step 3: Cross multiply
    271,813.60x = 407,817.60 × 114,090.40
  4. Step 4: Simplify right side
    271,813.60x = 46,528,073,111.04
  5. Step 5: Solve for x
    x = 46,528,073,111.04/271,813.60
  6. Step 6: Final answer
    x = 171,176.40

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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.