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Finding the Fourth Proportional to 200,129.45, 299,897.07 and 111,260.69

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Solution

The fourth proportional to 200,129.45, 299,897.07 and 111,260.69 is: 166,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,129.45 : 299,897.07 = 111,260.69 : x
  2. Step 2: Convert to fraction form
    200,129.45/299,897.07 = 111,260.69/x
  3. Step 3: Cross multiply
    200,129.45x = 299,897.07 × 111,260.69
  4. Step 4: Simplify right side
    200,129.45x = 33,366,754,937.18
  5. Step 5: Solve for x
    x = 33,366,754,937.18/200,129.45
  6. Step 6: Final answer
    x = 166,725.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.