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Finding the Fourth Proportional to 345,016.36, 476,117.70 and 194,113

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Solution

The fourth proportional to 345,016.36, 476,117.70 and 194,113 is: 267,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,016.36 : 476,117.70 = 194,113 : x
  2. Step 2: Convert to fraction form
    345,016.36/476,117.70 = 194,113/x
  3. Step 3: Cross multiply
    345,016.36x = 476,117.70 × 194,113
  4. Step 4: Simplify right side
    345,016.36x = 92,420,635,100.10
  5. Step 5: Solve for x
    x = 92,420,635,100.10/345,016.36
  6. Step 6: Final answer
    x = 267,873.20

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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.