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Finding the Fourth Proportional to 165,885.96, 248,871.84 and 47,565.96

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Solution

The fourth proportional to 165,885.96, 248,871.84 and 47,565.96 is: 71,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,885.96 : 248,871.84 = 47,565.96 : x
  2. Step 2: Convert to fraction form
    165,885.96/248,871.84 = 47,565.96/x
  3. Step 3: Cross multiply
    165,885.96x = 248,871.84 × 47,565.96
  4. Step 4: Simplify right side
    165,885.96x = 11,837,827,986.57
  5. Step 5: Solve for x
    x = 11,837,827,986.57/165,885.96
  6. Step 6: Final answer
    x = 71,361.24

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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.