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Finding the Fourth Proportional to 114,490.71, 171,841.77 and 82,503

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Solution

The fourth proportional to 114,490.71, 171,841.77 and 82,503 is: 123,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,490.71 : 171,841.77 = 82,503 : x
  2. Step 2: Convert to fraction form
    114,490.71/171,841.77 = 82,503/x
  3. Step 3: Cross multiply
    114,490.71x = 171,841.77 × 82,503
  4. Step 4: Simplify right side
    114,490.71x = 14,177,461,550.31
  5. Step 5: Solve for x
    x = 14,177,461,550.31/114,490.71
  6. Step 6: Final answer
    x = 123,830.67

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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.