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Finding the Fourth Proportional to 271,821.60, 407,829.60 and 114,098.40

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Solution

The fourth proportional to 271,821.60, 407,829.60 and 114,098.40 is: 171,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,821.60 : 407,829.60 = 114,098.40 : x
  2. Step 2: Convert to fraction form
    271,821.60/407,829.60 = 114,098.40/x
  3. Step 3: Cross multiply
    271,821.60x = 407,829.60 × 114,098.40
  4. Step 4: Simplify right side
    271,821.60x = 46,532,704,832.64
  5. Step 5: Solve for x
    x = 46,532,704,832.64/271,821.60
  6. Step 6: Final answer
    x = 171,188.40

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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.