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Finding the Fourth Proportional to 161,142.58, 241,692 and 47,287.36

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Solution

The fourth proportional to 161,142.58, 241,692 and 47,287.36 is: 70,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,142.58 : 241,692 = 47,287.36 : x
  2. Step 2: Convert to fraction form
    161,142.58/241,692 = 47,287.36/x
  3. Step 3: Cross multiply
    161,142.58x = 241,692 × 47,287.36
  4. Step 4: Simplify right side
    161,142.58x = 11,428,976,613.12
  5. Step 5: Solve for x
    x = 11,428,976,613.12/161,142.58
  6. Step 6: Final answer
    x = 70,924.62

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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.