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Finding the Fourth Proportional to 114,513.40, 171,770.10 and 101,828.80

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Solution

The fourth proportional to 114,513.40, 171,770.10 and 101,828.80 is: 152,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,513.40 : 171,770.10 = 101,828.80 : x
  2. Step 2: Convert to fraction form
    114,513.40/171,770.10 = 101,828.80/x
  3. Step 3: Cross multiply
    114,513.40x = 171,770.10 × 101,828.80
  4. Step 4: Simplify right side
    114,513.40x = 17,491,143,158.88
  5. Step 5: Solve for x
    x = 17,491,143,158.88/114,513.40
  6. Step 6: Final answer
    x = 152,743.20

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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.