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Finding the Fourth Proportional to 114,175.71, 171,209.57 and 34,182.80

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Solution

The fourth proportional to 114,175.71, 171,209.57 and 34,182.80 is: 51,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,175.71 : 171,209.57 = 34,182.80 : x
  2. Step 2: Convert to fraction form
    114,175.71/171,209.57 = 34,182.80/x
  3. Step 3: Cross multiply
    114,175.71x = 171,209.57 × 34,182.80
  4. Step 4: Simplify right side
    114,175.71x = 5,852,421,462.43
  5. Step 5: Solve for x
    x = 5,852,421,462.43/114,175.71
  6. Step 6: Final answer
    x = 51,258.03

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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.