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Finding the Fourth Proportional to 114,156.53, 171,230.76 and 29,916.02

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Solution

The fourth proportional to 114,156.53, 171,230.76 and 29,916.02 is: 44,872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,156.53 : 171,230.76 = 29,916.02 : x
  2. Step 2: Convert to fraction form
    114,156.53/171,230.76 = 29,916.02/x
  3. Step 3: Cross multiply
    114,156.53x = 171,230.76 × 29,916.02
  4. Step 4: Simplify right side
    114,156.53x = 5,122,541,984.62
  5. Step 5: Solve for x
    x = 5,122,541,984.62/114,156.53
  6. Step 6: Final answer
    x = 44,872.97

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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.