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Finding the Fourth Proportional to 295,026.30, 407,131.92 and 165,955.03

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Solution

The fourth proportional to 295,026.30, 407,131.92 and 165,955.03 is: 229,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,026.30 : 407,131.92 = 165,955.03 : x
  2. Step 2: Convert to fraction form
    295,026.30/407,131.92 = 165,955.03/x
  3. Step 3: Cross multiply
    295,026.30x = 407,131.92 × 165,955.03
  4. Step 4: Simplify right side
    295,026.30x = 67,565,588,979.73
  5. Step 5: Solve for x
    x = 67,565,588,979.73/295,026.30
  6. Step 6: Final answer
    x = 229,015.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.