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Finding the Fourth Proportional to 164,787.38, 227,430.84 and 104,363.64

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Solution

The fourth proportional to 164,787.38, 227,430.84 and 104,363.64 is: 144,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,787.38 : 227,430.84 = 104,363.64 : x
  2. Step 2: Convert to fraction form
    164,787.38/227,430.84 = 104,363.64/x
  3. Step 3: Cross multiply
    164,787.38x = 227,430.84 × 104,363.64
  4. Step 4: Simplify right side
    164,787.38x = 23,735,510,310.66
  5. Step 5: Solve for x
    x = 23,735,510,310.66/164,787.38
  6. Step 6: Final answer
    x = 144,037.19

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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.