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Finding the Fourth Proportional to 271,114.72, 406,783.74 and 119,233.78

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Solution

The fourth proportional to 271,114.72, 406,783.74 and 119,233.78 is: 178,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,114.72 : 406,783.74 = 119,233.78 : x
  2. Step 2: Convert to fraction form
    271,114.72/406,783.74 = 119,233.78/x
  3. Step 3: Cross multiply
    271,114.72x = 406,783.74 × 119,233.78
  4. Step 4: Simplify right side
    271,114.72x = 48,502,362,962.74
  5. Step 5: Solve for x
    x = 48,502,362,962.74/271,114.72
  6. Step 6: Final answer
    x = 178,899.78

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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.