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Finding the Fourth Proportional to 127,706.78, 176,172.18 and 76,694.96

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Solution

The fourth proportional to 127,706.78, 176,172.18 and 76,694.96 is: 105,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,706.78 : 176,172.18 = 76,694.96 : x
  2. Step 2: Convert to fraction form
    127,706.78/176,172.18 = 76,694.96/x
  3. Step 3: Cross multiply
    127,706.78x = 176,172.18 × 76,694.96
  4. Step 4: Simplify right side
    127,706.78x = 13,511,518,298.21
  5. Step 5: Solve for x
    x = 13,511,518,298.21/127,706.78
  6. Step 6: Final answer
    x = 105,801.10

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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.