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Finding the Fourth Proportional to 165,881.40, 248,747.22 and 47,525.64

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Solution

The fourth proportional to 165,881.40, 248,747.22 and 47,525.64 is: 71,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,881.40 : 248,747.22 = 47,525.64 : x
  2. Step 2: Convert to fraction form
    165,881.40/248,747.22 = 47,525.64/x
  3. Step 3: Cross multiply
    165,881.40x = 248,747.22 × 47,525.64
  4. Step 4: Simplify right side
    165,881.40x = 11,821,870,828.72
  5. Step 5: Solve for x
    x = 11,821,870,828.72/165,881.40
  6. Step 6: Final answer
    x = 71,267.01

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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.