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Finding the Fourth Proportional to 114,605.40, 171,908.10 and 83,112.60

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Solution

The fourth proportional to 114,605.40, 171,908.10 and 83,112.60 is: 124,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,605.40 : 171,908.10 = 83,112.60 : x
  2. Step 2: Convert to fraction form
    114,605.40/171,908.10 = 83,112.60/x
  3. Step 3: Cross multiply
    114,605.40x = 171,908.10 × 83,112.60
  4. Step 4: Simplify right side
    114,605.40x = 14,287,729,152.06
  5. Step 5: Solve for x
    x = 14,287,729,152.06/114,605.40
  6. Step 6: Final answer
    x = 124,668.90

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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.