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Finding the Fourth Proportional to 295,876.14, 408,301.47 and 161,731.50

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Solution

The fourth proportional to 295,876.14, 408,301.47 and 161,731.50 is: 223,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,876.14 : 408,301.47 = 161,731.50 : x
  2. Step 2: Convert to fraction form
    295,876.14/408,301.47 = 161,731.50/x
  3. Step 3: Cross multiply
    295,876.14x = 408,301.47 × 161,731.50
  4. Step 4: Simplify right side
    295,876.14x = 66,035,209,195.31
  5. Step 5: Solve for x
    x = 66,035,209,195.31/295,876.14
  6. Step 6: Final answer
    x = 223,185.31

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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.