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Finding the Fourth Proportional to 165,783.51, 248,723.81 and 53,461.47

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Solution

The fourth proportional to 165,783.51, 248,723.81 and 53,461.47 is: 80,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,783.51 : 248,723.81 = 53,461.47 : x
  2. Step 2: Convert to fraction form
    165,783.51/248,723.81 = 53,461.47/x
  3. Step 3: Cross multiply
    165,783.51x = 248,723.81 × 53,461.47
  4. Step 4: Simplify right side
    165,783.51x = 13,297,140,239.29
  5. Step 5: Solve for x
    x = 13,297,140,239.29/165,783.51
  6. Step 6: Final answer
    x = 80,207.86

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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.