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Finding the Fourth Proportional to 271,771.77, 407,602.34 and 103,233.03

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Solution

The fourth proportional to 271,771.77, 407,602.34 and 103,233.03 is: 154,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,771.77 : 407,602.34 = 103,233.03 : x
  2. Step 2: Convert to fraction form
    271,771.77/407,602.34 = 103,233.03/x
  3. Step 3: Cross multiply
    271,771.77x = 407,602.34 × 103,233.03
  4. Step 4: Simplify right side
    271,771.77x = 42,078,024,077.13
  5. Step 5: Solve for x
    x = 42,078,024,077.13/271,771.77
  6. Step 6: Final answer
    x = 154,828.53

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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.