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Finding the Fourth Proportional to 165,818.61, 248,736.42 and 47,507.31

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Solution

The fourth proportional to 165,818.61, 248,736.42 and 47,507.31 is: 71,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,818.61 : 248,736.42 = 47,507.31 : x
  2. Step 2: Convert to fraction form
    165,818.61/248,736.42 = 47,507.31/x
  3. Step 3: Cross multiply
    165,818.61x = 248,736.42 × 47,507.31
  4. Step 4: Simplify right side
    165,818.61x = 11,816,798,213.23
  5. Step 5: Solve for x
    x = 11,816,798,213.23/165,818.61
  6. Step 6: Final answer
    x = 71,263.40

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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.