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Finding the Fourth Proportional to 127,787.63, 191,706.04 and 57,666.94

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Solution

The fourth proportional to 127,787.63, 191,706.04 and 57,666.94 is: 86,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,787.63 : 191,706.04 = 57,666.94 : x
  2. Step 2: Convert to fraction form
    127,787.63/191,706.04 = 57,666.94/x
  3. Step 3: Cross multiply
    127,787.63x = 191,706.04 × 57,666.94
  4. Step 4: Simplify right side
    127,787.63x = 11,055,100,299.14
  5. Step 5: Solve for x
    x = 11,055,100,299.14/127,787.63
  6. Step 6: Final answer
    x = 86,511.51

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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.