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Finding the Fourth Proportional to 271,812.70, 407,719.05 and 94,301.20

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Solution

The fourth proportional to 271,812.70, 407,719.05 and 94,301.20 is: 141,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,812.70 : 407,719.05 = 94,301.20 : x
  2. Step 2: Convert to fraction form
    271,812.70/407,719.05 = 94,301.20/x
  3. Step 3: Cross multiply
    271,812.70x = 407,719.05 × 94,301.20
  4. Step 4: Simplify right side
    271,812.70x = 38,448,395,677.86
  5. Step 5: Solve for x
    x = 38,448,395,677.86/271,812.70
  6. Step 6: Final answer
    x = 141,451.80

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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.