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Finding the Fourth Proportional to 332,973, 499,459.98 and 135,981

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Solution

The fourth proportional to 332,973, 499,459.98 and 135,981 is: 203,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,973 : 499,459.98 = 135,981 : x
  2. Step 2: Convert to fraction form
    332,973/499,459.98 = 135,981/x
  3. Step 3: Cross multiply
    332,973x = 499,459.98 × 135,981
  4. Step 4: Simplify right side
    332,973x = 67,917,067,540.38
  5. Step 5: Solve for x
    x = 67,917,067,540.38/332,973
  6. Step 6: Final answer
    x = 203,971.70

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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.