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Finding the Fourth Proportional to 100,666.73, 151,006.89 and 34,084.13

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Solution

The fourth proportional to 100,666.73, 151,006.89 and 34,084.13 is: 51,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,666.73 : 151,006.89 = 34,084.13 : x
  2. Step 2: Convert to fraction form
    100,666.73/151,006.89 = 34,084.13/x
  3. Step 3: Cross multiply
    100,666.73x = 151,006.89 × 34,084.13
  4. Step 4: Simplify right side
    100,666.73x = 5,146,938,469.66
  5. Step 5: Solve for x
    x = 5,146,938,469.66/100,666.73
  6. Step 6: Final answer
    x = 51,128.50

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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.