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Finding the Fourth Proportional to 117,892.88, 176,839.56 and 97,072.64

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Solution

The fourth proportional to 117,892.88, 176,839.56 and 97,072.64 is: 145,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,892.88 : 176,839.56 = 97,072.64 : x
  2. Step 2: Convert to fraction form
    117,892.88/176,839.56 = 97,072.64/x
  3. Step 3: Cross multiply
    117,892.88x = 176,839.56 × 97,072.64
  4. Step 4: Simplify right side
    117,892.88x = 17,166,282,945.64
  5. Step 5: Solve for x
    x = 17,166,282,945.64/117,892.88
  6. Step 6: Final answer
    x = 145,609.16

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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.