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Finding the Fourth Proportional to 287,201.50, 430,802.28 and 76,833.97

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Solution

The fourth proportional to 287,201.50, 430,802.28 and 76,833.97 is: 115,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,201.50 : 430,802.28 = 76,833.97 : x
  2. Step 2: Convert to fraction form
    287,201.50/430,802.28 = 76,833.97/x
  3. Step 3: Cross multiply
    287,201.50x = 430,802.28 × 76,833.97
  4. Step 4: Simplify right side
    287,201.50x = 33,100,248,380.45
  5. Step 5: Solve for x
    x = 33,100,248,380.45/287,201.50
  6. Step 6: Final answer
    x = 115,250.96

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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.