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Finding the Fourth Proportional to 271,830.97, 407,401.97 and 153,568.94

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Solution

The fourth proportional to 271,830.97, 407,401.97 and 153,568.94 is: 230,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,830.97 : 407,401.97 = 153,568.94 : x
  2. Step 2: Convert to fraction form
    271,830.97/407,401.97 = 153,568.94/x
  3. Step 3: Cross multiply
    271,830.97x = 407,401.97 × 153,568.94
  4. Step 4: Simplify right side
    271,830.97x = 62,564,288,937.47
  5. Step 5: Solve for x
    x = 62,564,288,937.47/271,830.97
  6. Step 6: Final answer
    x = 230,158.80

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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.