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Finding the Fourth Proportional to 301,369.50, 415,909.35 and 167,233.50

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Solution

The fourth proportional to 301,369.50, 415,909.35 and 167,233.50 is: 230,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,369.50 : 415,909.35 = 167,233.50 : x
  2. Step 2: Convert to fraction form
    301,369.50/415,909.35 = 167,233.50/x
  3. Step 3: Cross multiply
    301,369.50x = 415,909.35 × 167,233.50
  4. Step 4: Simplify right side
    301,369.50x = 69,553,976,283.23
  5. Step 5: Solve for x
    x = 69,553,976,283.23/301,369.50
  6. Step 6: Final answer
    x = 230,793.02

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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.