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Finding the Fourth Proportional to 202,883.99, 304,266.50 and 76,433

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Solution

The fourth proportional to 202,883.99, 304,266.50 and 76,433 is: 114,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,883.99 : 304,266.50 = 76,433 : x
  2. Step 2: Convert to fraction form
    202,883.99/304,266.50 = 76,433/x
  3. Step 3: Cross multiply
    202,883.99x = 304,266.50 × 76,433
  4. Step 4: Simplify right side
    202,883.99x = 23,256,001,394.50
  5. Step 5: Solve for x
    x = 23,256,001,394.50/202,883.99
  6. Step 6: Final answer
    x = 114,627.09

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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.