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Finding the Fourth Proportional to 114,100.29, 171,160.29 and 29,860.11

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Solution

The fourth proportional to 114,100.29, 171,160.29 and 29,860.11 is: 44,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,100.29 : 171,160.29 = 29,860.11 : x
  2. Step 2: Convert to fraction form
    114,100.29/171,160.29 = 29,860.11/x
  3. Step 3: Cross multiply
    114,100.29x = 171,160.29 × 29,860.11
  4. Step 4: Simplify right side
    114,100.29x = 5,110,865,087.03
  5. Step 5: Solve for x
    x = 5,110,865,087.03/114,100.29
  6. Step 6: Final answer
    x = 44,792.74

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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.