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Finding the Fourth Proportional to 156,206.97, 234,273.89 and 43,897.92

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Solution

The fourth proportional to 156,206.97, 234,273.89 and 43,897.92 is: 65,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,206.97 : 234,273.89 = 43,897.92 : x
  2. Step 2: Convert to fraction form
    156,206.97/234,273.89 = 43,897.92/x
  3. Step 3: Cross multiply
    156,206.97x = 234,273.89 × 43,897.92
  4. Step 4: Simplify right side
    156,206.97x = 10,284,136,261.82
  5. Step 5: Solve for x
    x = 10,284,136,261.82/156,206.97
  6. Step 6: Final answer
    x = 65,836.60

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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.