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Finding the Fourth Proportional to 165,684.83, 248,527.17 and 47,356.22

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Solution

The fourth proportional to 165,684.83, 248,527.17 and 47,356.22 is: 71,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,684.83 : 248,527.17 = 47,356.22 : x
  2. Step 2: Convert to fraction form
    165,684.83/248,527.17 = 47,356.22/x
  3. Step 3: Cross multiply
    165,684.83x = 248,527.17 × 47,356.22
  4. Step 4: Simplify right side
    165,684.83x = 11,769,307,338.50
  5. Step 5: Solve for x
    x = 11,769,307,338.50/165,684.83
  6. Step 6: Final answer
    x = 71,034.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.