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Finding the Fourth Proportional to 117,133.34, 175,616.48 and 54,769.82

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Solution

The fourth proportional to 117,133.34, 175,616.48 and 54,769.82 is: 82,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,133.34 : 175,616.48 = 54,769.82 : x
  2. Step 2: Convert to fraction form
    117,133.34/175,616.48 = 54,769.82/x
  3. Step 3: Cross multiply
    117,133.34x = 175,616.48 × 54,769.82
  4. Step 4: Simplify right side
    117,133.34x = 9,618,482,998.63
  5. Step 5: Solve for x
    x = 9,618,482,998.63/117,133.34
  6. Step 6: Final answer
    x = 82,115.67

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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.