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Finding the Fourth Proportional to 165,820.62, 248,739.42 and 47,509.32

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Solution

The fourth proportional to 165,820.62, 248,739.42 and 47,509.32 is: 71,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,820.62 : 248,739.42 = 47,509.32 : x
  2. Step 2: Convert to fraction form
    165,820.62/248,739.42 = 47,509.32/x
  3. Step 3: Cross multiply
    165,820.62x = 248,739.42 × 47,509.32
  4. Step 4: Simplify right side
    165,820.62x = 11,817,440,701.39
  5. Step 5: Solve for x
    x = 11,817,440,701.39/165,820.62
  6. Step 6: Final answer
    x = 71,266.41

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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.