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Finding the Fourth Proportional to 202,883.37, 304,265.56 and 76,432.38

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Solution

The fourth proportional to 202,883.37, 304,265.56 and 76,432.38 is: 114,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,883.37 : 304,265.56 = 76,432.38 : x
  2. Step 2: Convert to fraction form
    202,883.37/304,265.56 = 76,432.38/x
  3. Step 3: Cross multiply
    202,883.37x = 304,265.56 × 76,432.38
  4. Step 4: Simplify right side
    202,883.37x = 23,255,739,381.51
  5. Step 5: Solve for x
    x = 23,255,739,381.51/202,883.37
  6. Step 6: Final answer
    x = 114,626.15

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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.