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Finding the Fourth Proportional to 271,484.64, 407,093.76 and 111,531.60

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Solution

The fourth proportional to 271,484.64, 407,093.76 and 111,531.60 is: 167,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,484.64 : 407,093.76 = 111,531.60 : x
  2. Step 2: Convert to fraction form
    271,484.64/407,093.76 = 111,531.60/x
  3. Step 3: Cross multiply
    271,484.64x = 407,093.76 × 111,531.60
  4. Step 4: Simplify right side
    271,484.64x = 45,403,818,402.82
  5. Step 5: Solve for x
    x = 45,403,818,402.82/271,484.64
  6. Step 6: Final answer
    x = 167,242.68

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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.