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Finding the Fourth Proportional to 117,007.82, 175,370.73 and 53,740.65

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Solution

The fourth proportional to 117,007.82, 175,370.73 and 53,740.65 is: 80,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007.82 : 175,370.73 = 53,740.65 : x
  2. Step 2: Convert to fraction form
    117,007.82/175,370.73 = 53,740.65/x
  3. Step 3: Cross multiply
    117,007.82x = 175,370.73 × 53,740.65
  4. Step 4: Simplify right side
    117,007.82x = 9,424,537,021.17
  5. Step 5: Solve for x
    x = 9,424,537,021.17/117,007.82
  6. Step 6: Final answer
    x = 80,546.22

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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.