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Finding the Fourth Proportional to 165,516.48, 248,319 and 47,198.16

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Solution

The fourth proportional to 165,516.48, 248,319 and 47,198.16 is: 70,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,516.48 : 248,319 = 47,198.16 : x
  2. Step 2: Convert to fraction form
    165,516.48/248,319 = 47,198.16/x
  3. Step 3: Cross multiply
    165,516.48x = 248,319 × 47,198.16
  4. Step 4: Simplify right side
    165,516.48x = 11,720,199,893.04
  5. Step 5: Solve for x
    x = 11,720,199,893.04/165,516.48
  6. Step 6: Final answer
    x = 70,809.87

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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.