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Finding the Fourth Proportional to 271,047.84, 406,432.88 and 113,233.44

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Solution

The fourth proportional to 271,047.84, 406,432.88 and 113,233.44 is: 169,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,047.84 : 406,432.88 = 113,233.44 : x
  2. Step 2: Convert to fraction form
    271,047.84/406,432.88 = 113,233.44/x
  3. Step 3: Cross multiply
    271,047.84x = 406,432.88 × 113,233.44
  4. Step 4: Simplify right side
    271,047.84x = 46,021,793,131.51
  5. Step 5: Solve for x
    x = 46,021,793,131.51/271,047.84
  6. Step 6: Final answer
    x = 169,792.14

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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.