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Finding the Fourth Proportional to 135,897.69, 203,692.73 and 69,196.92

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Solution

The fourth proportional to 135,897.69, 203,692.73 and 69,196.92 is: 103,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,897.69 : 203,692.73 = 69,196.92 : x
  2. Step 2: Convert to fraction form
    135,897.69/203,692.73 = 69,196.92/x
  3. Step 3: Cross multiply
    135,897.69x = 203,692.73 × 69,196.92
  4. Step 4: Simplify right side
    135,897.69x = 14,094,909,196.41
  5. Step 5: Solve for x
    x = 14,094,909,196.41/135,897.69
  6. Step 6: Final answer
    x = 103,717.06

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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.