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Finding the Fourth Proportional to 117,857.63, 176,645.95 and 82,125.50

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Solution

The fourth proportional to 117,857.63, 176,645.95 and 82,125.50 is: 123,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,857.63 : 176,645.95 = 82,125.50 : x
  2. Step 2: Convert to fraction form
    117,857.63/176,645.95 = 82,125.50/x
  3. Step 3: Cross multiply
    117,857.63x = 176,645.95 × 82,125.50
  4. Step 4: Simplify right side
    117,857.63x = 14,507,135,878.18
  5. Step 5: Solve for x
    x = 14,507,135,878.18/117,857.63
  6. Step 6: Final answer
    x = 123,090.34

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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.